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Simplifying 12 + -3(4x + 3) = -2x + 23 Reorder the terms: 12 + -3(3 + 4x) = -2x + 23 12 + (3 * -3 + 4x * -3) = -2x + 23 12 + (-9 + -12x) = -2x + 23 Combine like terms: 12 + -9 = 3 3 + -12x = -2x + 23 Reorder the terms: 3 + -12x = 23 + -2x Solving 3 + -12x = 23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + -12x + 2x = 23 + -2x + 2x Combine like terms: -12x + 2x = -10x 3 + -10x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + -10x = 23 + 0 3 + -10x = 23 Add '-3' to each side of the equation. 3 + -3 + -10x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 23 + -3 -10x = 23 + -3 Combine like terms: 23 + -3 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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