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Simplifying 2(x + -7) + -3(x + 4) = 4 + -1(5x + -2) Reorder the terms: 2(-7 + x) + -3(x + 4) = 4 + -1(5x + -2) (-7 * 2 + x * 2) + -3(x + 4) = 4 + -1(5x + -2) (-14 + 2x) + -3(x + 4) = 4 + -1(5x + -2) Reorder the terms: -14 + 2x + -3(4 + x) = 4 + -1(5x + -2) -14 + 2x + (4 * -3 + x * -3) = 4 + -1(5x + -2) -14 + 2x + (-12 + -3x) = 4 + -1(5x + -2) Reorder the terms: -14 + -12 + 2x + -3x = 4 + -1(5x + -2) Combine like terms: -14 + -12 = -26 -26 + 2x + -3x = 4 + -1(5x + -2) Combine like terms: 2x + -3x = -1x -26 + -1x = 4 + -1(5x + -2) Reorder the terms: -26 + -1x = 4 + -1(-2 + 5x) -26 + -1x = 4 + (-2 * -1 + 5x * -1) -26 + -1x = 4 + (2 + -5x) Combine like terms: 4 + 2 = 6 -26 + -1x = 6 + -5x Solving -26 + -1x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -26 + -1x + 5x = 6 + -5x + 5x Combine like terms: -1x + 5x = 4x -26 + 4x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -26 + 4x = 6 + 0 -26 + 4x = 6 Add '26' to each side of the equation. -26 + 26 + 4x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = 6 + 26 4x = 6 + 26 Combine like terms: 6 + 26 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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