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Simplifying 4(x + -1) + -1(2x + 7) = 3 + -1(x + -5) + 12 Reorder the terms: 4(-1 + x) + -1(2x + 7) = 3 + -1(x + -5) + 12 (-1 * 4 + x * 4) + -1(2x + 7) = 3 + -1(x + -5) + 12 (-4 + 4x) + -1(2x + 7) = 3 + -1(x + -5) + 12 Reorder the terms: -4 + 4x + -1(7 + 2x) = 3 + -1(x + -5) + 12 -4 + 4x + (7 * -1 + 2x * -1) = 3 + -1(x + -5) + 12 -4 + 4x + (-7 + -2x) = 3 + -1(x + -5) + 12 Reorder the terms: -4 + -7 + 4x + -2x = 3 + -1(x + -5) + 12 Combine like terms: -4 + -7 = -11 -11 + 4x + -2x = 3 + -1(x + -5) + 12 Combine like terms: 4x + -2x = 2x -11 + 2x = 3 + -1(x + -5) + 12 Reorder the terms: -11 + 2x = 3 + -1(-5 + x) + 12 -11 + 2x = 3 + (-5 * -1 + x * -1) + 12 -11 + 2x = 3 + (5 + -1x) + 12 Reorder the terms: -11 + 2x = 3 + 5 + 12 + -1x Combine like terms: 3 + 5 = 8 -11 + 2x = 8 + 12 + -1x Combine like terms: 8 + 12 = 20 -11 + 2x = 20 + -1x Solving -11 + 2x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 2x + x = 20 + -1x + x Combine like terms: 2x + x = 3x -11 + 3x = 20 + -1x + x Combine like terms: -1x + x = 0 -11 + 3x = 20 + 0 -11 + 3x = 20 Add '11' to each side of the equation. -11 + 11 + 3x = 20 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 20 + 11 3x = 20 + 11 Combine like terms: 20 + 11 = 31 3x = 31 Divide each side by '3'. x = 10.33333333 Simplifying x = 10.33333333
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