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Simplifying 3(4 + 3x) + x = 5(x + -2) + -3 (4 * 3 + 3x * 3) + x = 5(x + -2) + -3 (12 + 9x) + x = 5(x + -2) + -3 Combine like terms: 9x + x = 10x 12 + 10x = 5(x + -2) + -3 Reorder the terms: 12 + 10x = 5(-2 + x) + -3 12 + 10x = (-2 * 5 + x * 5) + -3 12 + 10x = (-10 + 5x) + -3 Reorder the terms: 12 + 10x = -10 + -3 + 5x Combine like terms: -10 + -3 = -13 12 + 10x = -13 + 5x Solving 12 + 10x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 10x + -5x = -13 + 5x + -5x Combine like terms: 10x + -5x = 5x 12 + 5x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 5x = -13 + 0 12 + 5x = -13 Add '-12' to each side of the equation. 12 + -12 + 5x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -13 + -12 5x = -13 + -12 Combine like terms: -13 + -12 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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