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Simplifying 6x + 3 + -12x = -3(x + 8) Reorder the terms: 3 + 6x + -12x = -3(x + 8) Combine like terms: 6x + -12x = -6x 3 + -6x = -3(x + 8) Reorder the terms: 3 + -6x = -3(8 + x) 3 + -6x = (8 * -3 + x * -3) 3 + -6x = (-24 + -3x) Solving 3 + -6x = -24 + -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. 3 + -6x + 3x = -24 + -3x + 3x Combine like terms: -6x + 3x = -3x 3 + -3x = -24 + -3x + 3x Combine like terms: -3x + 3x = 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 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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