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Simplifying 3(4x + 3) = 2x + -5(3 + -1c) + 2 Reorder the terms: 3(3 + 4x) = 2x + -5(3 + -1c) + 2 (3 * 3 + 4x * 3) = 2x + -5(3 + -1c) + 2 (9 + 12x) = 2x + -5(3 + -1c) + 2 9 + 12x = 2x + (3 * -5 + -1c * -5) + 2 9 + 12x = 2x + (-15 + 5c) + 2 Reorder the terms: 9 + 12x = -15 + 2 + 5c + 2x Combine like terms: -15 + 2 = -13 9 + 12x = -13 + 5c + 2x Solving 9 + 12x = -13 + 5c + 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 = -13 + 5c + 2x + -2x Combine like terms: 12x + -2x = 10x 9 + 10x = -13 + 5c + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 10x = -13 + 5c + 0 9 + 10x = -13 + 5c Add '-9' to each side of the equation. 9 + -9 + 10x = -13 + -9 + 5c Combine like terms: 9 + -9 = 0 0 + 10x = -13 + -9 + 5c 10x = -13 + -9 + 5c Combine like terms: -13 + -9 = -22 10x = -22 + 5c Divide each side by '10'. x = -2.2 + 0.5c Simplifying x = -2.2 + 0.5c
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