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Simplifying -3(x + 5) = 7 + 12(x + -2) Reorder the terms: -3(5 + x) = 7 + 12(x + -2) (5 * -3 + x * -3) = 7 + 12(x + -2) (-15 + -3x) = 7 + 12(x + -2) Reorder the terms: -15 + -3x = 7 + 12(-2 + x) -15 + -3x = 7 + (-2 * 12 + x * 12) -15 + -3x = 7 + (-24 + 12x) Combine like terms: 7 + -24 = -17 -15 + -3x = -17 + 12x Solving -15 + -3x = -17 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + -3x + -12x = -17 + 12x + -12x Combine like terms: -3x + -12x = -15x -15 + -15x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -15x = -17 + 0 -15 + -15x = -17 Add '15' to each side of the equation. -15 + 15 + -15x = -17 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = -17 + 15 -15x = -17 + 15 Combine like terms: -17 + 15 = -2 -15x = -2 Divide each side by '-15'. x = 0.1333333333 Simplifying x = 0.1333333333
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