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Simplifying 3(x + 15) + -1(x + -1) = 4(3x + 8) Reorder the terms: 3(15 + x) + -1(x + -1) = 4(3x + 8) (15 * 3 + x * 3) + -1(x + -1) = 4(3x + 8) (45 + 3x) + -1(x + -1) = 4(3x + 8) Reorder the terms: 45 + 3x + -1(-1 + x) = 4(3x + 8) 45 + 3x + (-1 * -1 + x * -1) = 4(3x + 8) 45 + 3x + (1 + -1x) = 4(3x + 8) Reorder the terms: 45 + 1 + 3x + -1x = 4(3x + 8) Combine like terms: 45 + 1 = 46 46 + 3x + -1x = 4(3x + 8) Combine like terms: 3x + -1x = 2x 46 + 2x = 4(3x + 8) Reorder the terms: 46 + 2x = 4(8 + 3x) 46 + 2x = (8 * 4 + 3x * 4) 46 + 2x = (32 + 12x) Solving 46 + 2x = 32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + 2x + -12x = 32 + 12x + -12x Combine like terms: 2x + -12x = -10x 46 + -10x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -10x = 32 + 0 46 + -10x = 32 Add '-46' to each side of the equation. 46 + -46 + -10x = 32 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = 32 + -46 -10x = 32 + -46 Combine like terms: 32 + -46 = -14 -10x = -14 Divide each side by '-10'. x = 1.4 Simplifying x = 1.4
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