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Simplifying -10(3x + -12) + -3 = -3(5 + -1x) Reorder the terms: -10(-12 + 3x) + -3 = -3(5 + -1x) (-12 * -10 + 3x * -10) + -3 = -3(5 + -1x) (120 + -30x) + -3 = -3(5 + -1x) Reorder the terms: 120 + -3 + -30x = -3(5 + -1x) Combine like terms: 120 + -3 = 117 117 + -30x = -3(5 + -1x) 117 + -30x = (5 * -3 + -1x * -3) 117 + -30x = (-15 + 3x) Solving 117 + -30x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 117 + -30x + -3x = -15 + 3x + -3x Combine like terms: -30x + -3x = -33x 117 + -33x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 117 + -33x = -15 + 0 117 + -33x = -15 Add '-117' to each side of the equation. 117 + -117 + -33x = -15 + -117 Combine like terms: 117 + -117 = 0 0 + -33x = -15 + -117 -33x = -15 + -117 Combine like terms: -15 + -117 = -132 -33x = -132 Divide each side by '-33'. x = 4 Simplifying x = 4
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