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Simplifying 3(4x + 3) = 3x + -5(3 + -1x) + 2 Reorder the terms: 3(3 + 4x) = 3x + -5(3 + -1x) + 2 (3 * 3 + 4x * 3) = 3x + -5(3 + -1x) + 2 (9 + 12x) = 3x + -5(3 + -1x) + 2 9 + 12x = 3x + (3 * -5 + -1x * -5) + 2 9 + 12x = 3x + (-15 + 5x) + 2 Reorder the terms: 9 + 12x = -15 + 2 + 3x + 5x Combine like terms: -15 + 2 = -13 9 + 12x = -13 + 3x + 5x Combine like terms: 3x + 5x = 8x 9 + 12x = -13 + 8x Solving 9 + 12x = -13 + 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 = -13 + 8x + -8x Combine like terms: 12x + -8x = 4x 9 + 4x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 4x = -13 + 0 9 + 4x = -13 Add '-9' to each side of the equation. 9 + -9 + 4x = -13 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -13 + -9 4x = -13 + -9 Combine like terms: -13 + -9 = -22 4x = -22 Divide each side by '4'. x = -5.5 Simplifying x = -5.5
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