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Simplifying 12 + 5(x + -3) = 8(x + -3) Reorder the terms: 12 + 5(-3 + x) = 8(x + -3) 12 + (-3 * 5 + x * 5) = 8(x + -3) 12 + (-15 + 5x) = 8(x + -3) Combine like terms: 12 + -15 = -3 -3 + 5x = 8(x + -3) Reorder the terms: -3 + 5x = 8(-3 + x) -3 + 5x = (-3 * 8 + x * 8) -3 + 5x = (-24 + 8x) Solving -3 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = -24 + 0 -3 + -3x = -24 Add '3' to each side of the equation. -3 + 3 + -3x = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -24 + 3 -3x = -24 + 3 Combine like terms: -24 + 3 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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