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Simplifying -1(x + 7) + -5 = -4(x + 3) + -6x Reorder the terms: -1(7 + x) + -5 = -4(x + 3) + -6x (7 * -1 + x * -1) + -5 = -4(x + 3) + -6x (-7 + -1x) + -5 = -4(x + 3) + -6x Reorder the terms: -7 + -5 + -1x = -4(x + 3) + -6x Combine like terms: -7 + -5 = -12 -12 + -1x = -4(x + 3) + -6x Reorder the terms: -12 + -1x = -4(3 + x) + -6x -12 + -1x = (3 * -4 + x * -4) + -6x -12 + -1x = (-12 + -4x) + -6x Combine like terms: -4x + -6x = -10x -12 + -1x = -12 + -10x Add '12' to each side of the equation. -12 + 12 + -1x = -12 + 12 + -10x Combine like terms: -12 + 12 = 0 0 + -1x = -12 + 12 + -10x -1x = -12 + 12 + -10x Combine like terms: -12 + 12 = 0 -1x = 0 + -10x -1x = -10x Solving -1x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -1x + 10x = -10x + 10x Combine like terms: -1x + 10x = 9x 9x = -10x + 10x Combine like terms: -10x + 10x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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