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Simplifying -1(x + 12) = 6(x + -7) Reorder the terms: -1(12 + x) = 6(x + -7) (12 * -1 + x * -1) = 6(x + -7) (-12 + -1x) = 6(x + -7) Reorder the terms: -12 + -1x = 6(-7 + x) -12 + -1x = (-7 * 6 + x * 6) -12 + -1x = (-42 + 6x) Solving -12 + -1x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -1x + -6x = -42 + 6x + -6x Combine like terms: -1x + -6x = -7x -12 + -7x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -7x = -42 + 0 -12 + -7x = -42 Add '12' to each side of the equation. -12 + 12 + -7x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -42 + 12 -7x = -42 + 12 Combine like terms: -42 + 12 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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