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Simplifying 2(x + -4) + -5(3 + x) + -1(x + -7) = 0 Reorder the terms: 2(-4 + x) + -5(3 + x) + -1(x + -7) = 0 (-4 * 2 + x * 2) + -5(3 + x) + -1(x + -7) = 0 (-8 + 2x) + -5(3 + x) + -1(x + -7) = 0 -8 + 2x + (3 * -5 + x * -5) + -1(x + -7) = 0 -8 + 2x + (-15 + -5x) + -1(x + -7) = 0 Reorder the terms: -8 + 2x + -15 + -5x + -1(-7 + x) = 0 -8 + 2x + -15 + -5x + (-7 * -1 + x * -1) = 0 -8 + 2x + -15 + -5x + (7 + -1x) = 0 Reorder the terms: -8 + -15 + 7 + 2x + -5x + -1x = 0 Combine like terms: -8 + -15 = -23 -23 + 7 + 2x + -5x + -1x = 0 Combine like terms: -23 + 7 = -16 -16 + 2x + -5x + -1x = 0 Combine like terms: 2x + -5x = -3x -16 + -3x + -1x = 0 Combine like terms: -3x + -1x = -4x -16 + -4x = 0 Solving -16 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -4x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 0 + 16 -4x = 0 + 16 Combine like terms: 0 + 16 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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