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Simplifying 3(4x + 3) = 2x + -5(3x + -1x) + 2 Reorder the terms: 3(3 + 4x) = 2x + -5(3x + -1x) + 2 (3 * 3 + 4x * 3) = 2x + -5(3x + -1x) + 2 (9 + 12x) = 2x + -5(3x + -1x) + 2 Combine like terms: 3x + -1x = 2x 9 + 12x = 2x + -5(2x) + 2 Remove parenthesis around (2x) 9 + 12x = 2x + -5 * 2x + 2 Multiply -5 * 2 9 + 12x = 2x + -10x + 2 Reorder the terms: 9 + 12x = 2 + 2x + -10x Combine like terms: 2x + -10x = -8x 9 + 12x = 2 + -8x Solving 9 + 12x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 12x + 8x = 2 + -8x + 8x Combine like terms: 12x + 8x = 20x 9 + 20x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 20x = 2 + 0 9 + 20x = 2 Add '-9' to each side of the equation. 9 + -9 + 20x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 20x = 2 + -9 20x = 2 + -9 Combine like terms: 2 + -9 = -7 20x = -7 Divide each side by '20'. x = -0.35 Simplifying x = -0.35
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