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Simplifying -1(x + -12) + 3(-1x + -10) = 10 Reorder the terms: -1(-12 + x) + 3(-1x + -10) = 10 (-12 * -1 + x * -1) + 3(-1x + -10) = 10 (12 + -1x) + 3(-1x + -10) = 10 Reorder the terms: 12 + -1x + 3(-10 + -1x) = 10 12 + -1x + (-10 * 3 + -1x * 3) = 10 12 + -1x + (-30 + -3x) = 10 Reorder the terms: 12 + -30 + -1x + -3x = 10 Combine like terms: 12 + -30 = -18 -18 + -1x + -3x = 10 Combine like terms: -1x + -3x = -4x -18 + -4x = 10 Solving -18 + -4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 10 + 18 -4x = 10 + 18 Combine like terms: 10 + 18 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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