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Simplifying 12(x + 15) + -4x = -6(x + -1) Reorder the terms: 12(15 + x) + -4x = -6(x + -1) (15 * 12 + x * 12) + -4x = -6(x + -1) (180 + 12x) + -4x = -6(x + -1) Combine like terms: 12x + -4x = 8x 180 + 8x = -6(x + -1) Reorder the terms: 180 + 8x = -6(-1 + x) 180 + 8x = (-1 * -6 + x * -6) 180 + 8x = (6 + -6x) Solving 180 + 8x = 6 + -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. 180 + 8x + 6x = 6 + -6x + 6x Combine like terms: 8x + 6x = 14x 180 + 14x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 180 + 14x = 6 + 0 180 + 14x = 6 Add '-180' to each side of the equation. 180 + -180 + 14x = 6 + -180 Combine like terms: 180 + -180 = 0 0 + 14x = 6 + -180 14x = 6 + -180 Combine like terms: 6 + -180 = -174 14x = -174 Divide each side by '14'. x = -12.42857143 Simplifying x = -12.42857143
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