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Simplifying 3(2x + 3) = 3(x + -4) Reorder the terms: 3(3 + 2x) = 3(x + -4) (3 * 3 + 2x * 3) = 3(x + -4) (9 + 6x) = 3(x + -4) Reorder the terms: 9 + 6x = 3(-4 + x) 9 + 6x = (-4 * 3 + x * 3) 9 + 6x = (-12 + 3x) Solving 9 + 6x = -12 + 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. 9 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 9 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 3x = -12 + 0 9 + 3x = -12 Add '-9' to each side of the equation. 9 + -9 + 3x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -12 + -9 3x = -12 + -9 Combine like terms: -12 + -9 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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