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Simplifying 3(4x + 3) = 2x + -5(3 + -3) + 2 Reorder the terms: 3(3 + 4x) = 2x + -5(3 + -3) + 2 (3 * 3 + 4x * 3) = 2x + -5(3 + -3) + 2 (9 + 12x) = 2x + -5(3 + -3) + 2 Combine like terms: 3 + -3 = 0 9 + 12x = 2x + -5(0) + 2 Multiply -5 * 0 9 + 12x = 2x + 0 + 2 Anything times zero is zero. 9 + 12x = 2x + 0 + 2 Reorder the terms: 9 + 12x = 0 + 2 + 2x Combine like terms: 0 + 2 = 2 9 + 12x = 2 + 2x Solving 9 + 12x = 2 + 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. 9 + 12x + -2x = 2 + 2x + -2x Combine like terms: 12x + -2x = 10x 9 + 10x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 10x = 2 + 0 9 + 10x = 2 Add '-9' to each side of the equation. 9 + -9 + 10x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 2 + -9 10x = 2 + -9 Combine like terms: 2 + -9 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7
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