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Simplifying 5(1 + -1x) + 4(x + -3) = (x + -2) + -1(2 + -1x) (1 * 5 + -1x * 5) + 4(x + -3) = (x + -2) + -1(2 + -1x) (5 + -5x) + 4(x + -3) = (x + -2) + -1(2 + -1x) Reorder the terms: 5 + -5x + 4(-3 + x) = (x + -2) + -1(2 + -1x) 5 + -5x + (-3 * 4 + x * 4) = (x + -2) + -1(2 + -1x) 5 + -5x + (-12 + 4x) = (x + -2) + -1(2 + -1x) Reorder the terms: 5 + -12 + -5x + 4x = (x + -2) + -1(2 + -1x) Combine like terms: 5 + -12 = -7 -7 + -5x + 4x = (x + -2) + -1(2 + -1x) Combine like terms: -5x + 4x = -1x -7 + -1x = (x + -2) + -1(2 + -1x) Reorder the terms: -7 + -1x = (-2 + x) + -1(2 + -1x) Remove parenthesis around (-2 + x) -7 + -1x = -2 + x + -1(2 + -1x) -7 + -1x = -2 + x + (2 * -1 + -1x * -1) -7 + -1x = -2 + x + (-2 + 1x) Reorder the terms: -7 + -1x = -2 + -2 + x + 1x Combine like terms: -2 + -2 = -4 -7 + -1x = -4 + x + 1x Combine like terms: x + 1x = 2x -7 + -1x = -4 + 2x Solving -7 + -1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -1x + -2x = -4 + 2x + -2x Combine like terms: -1x + -2x = -3x -7 + -3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -3x = -4 + 0 -7 + -3x = -4 Add '7' to each side of the equation. -7 + 7 + -3x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -4 + 7 -3x = -4 + 7 Combine like terms: -4 + 7 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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