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Simplifying 13 + -1(7x + -9) + (23x + -11) + -1(18x + 19) = 3x + -1(2x + 13) Reorder the terms: 13 + -1(-9 + 7x) + (23x + -11) + -1(18x + 19) = 3x + -1(2x + 13) 13 + (-9 * -1 + 7x * -1) + (23x + -11) + -1(18x + 19) = 3x + -1(2x + 13) 13 + (9 + -7x) + (23x + -11) + -1(18x + 19) = 3x + -1(2x + 13) Reorder the terms: 13 + 9 + -7x + (-11 + 23x) + -1(18x + 19) = 3x + -1(2x + 13) Remove parenthesis around (-11 + 23x) 13 + 9 + -7x + -11 + 23x + -1(18x + 19) = 3x + -1(2x + 13) Reorder the terms: 13 + 9 + -7x + -11 + 23x + -1(19 + 18x) = 3x + -1(2x + 13) 13 + 9 + -7x + -11 + 23x + (19 * -1 + 18x * -1) = 3x + -1(2x + 13) 13 + 9 + -7x + -11 + 23x + (-19 + -18x) = 3x + -1(2x + 13) Reorder the terms: 13 + 9 + -11 + -19 + -7x + 23x + -18x = 3x + -1(2x + 13) Combine like terms: 13 + 9 = 22 22 + -11 + -19 + -7x + 23x + -18x = 3x + -1(2x + 13) Combine like terms: 22 + -11 = 11 11 + -19 + -7x + 23x + -18x = 3x + -1(2x + 13) Combine like terms: 11 + -19 = -8 -8 + -7x + 23x + -18x = 3x + -1(2x + 13) Combine like terms: -7x + 23x = 16x -8 + 16x + -18x = 3x + -1(2x + 13) Combine like terms: 16x + -18x = -2x -8 + -2x = 3x + -1(2x + 13) Reorder the terms: -8 + -2x = 3x + -1(13 + 2x) -8 + -2x = 3x + (13 * -1 + 2x * -1) -8 + -2x = 3x + (-13 + -2x) Reorder the terms: -8 + -2x = -13 + 3x + -2x Combine like terms: 3x + -2x = 1x -8 + -2x = -13 + 1x Solving -8 + -2x = -13 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -2x + -1x = -13 + 1x + -1x Combine like terms: -2x + -1x = -3x -8 + -3x = -13 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + -3x = -13 + 0 -8 + -3x = -13 Add '8' to each side of the equation. -8 + 8 + -3x = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -13 + 8 -3x = -13 + 8 Combine like terms: -13 + 8 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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