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Simplifying 3(x + -4) + -7(x + 2) = -2(x + 13) Reorder the terms: 3(-4 + x) + -7(x + 2) = -2(x + 13) (-4 * 3 + x * 3) + -7(x + 2) = -2(x + 13) (-12 + 3x) + -7(x + 2) = -2(x + 13) Reorder the terms: -12 + 3x + -7(2 + x) = -2(x + 13) -12 + 3x + (2 * -7 + x * -7) = -2(x + 13) -12 + 3x + (-14 + -7x) = -2(x + 13) Reorder the terms: -12 + -14 + 3x + -7x = -2(x + 13) Combine like terms: -12 + -14 = -26 -26 + 3x + -7x = -2(x + 13) Combine like terms: 3x + -7x = -4x -26 + -4x = -2(x + 13) Reorder the terms: -26 + -4x = -2(13 + x) -26 + -4x = (13 * -2 + x * -2) -26 + -4x = (-26 + -2x) Add '26' to each side of the equation. -26 + 26 + -4x = -26 + 26 + -2x Combine like terms: -26 + 26 = 0 0 + -4x = -26 + 26 + -2x -4x = -26 + 26 + -2x Combine like terms: -26 + 26 = 0 -4x = 0 + -2x -4x = -2x Solving -4x = -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. -4x + 2x = -2x + 2x Combine like terms: -4x + 2x = -2x -2x = -2x + 2x Combine like terms: -2x + 2x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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