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Simplifying 15(3x + -4) + 6(2x + 1) = 10(8 + -1x) Reorder the terms: 15(-4 + 3x) + 6(2x + 1) = 10(8 + -1x) (-4 * 15 + 3x * 15) + 6(2x + 1) = 10(8 + -1x) (-60 + 45x) + 6(2x + 1) = 10(8 + -1x) Reorder the terms: -60 + 45x + 6(1 + 2x) = 10(8 + -1x) -60 + 45x + (1 * 6 + 2x * 6) = 10(8 + -1x) -60 + 45x + (6 + 12x) = 10(8 + -1x) Reorder the terms: -60 + 6 + 45x + 12x = 10(8 + -1x) Combine like terms: -60 + 6 = -54 -54 + 45x + 12x = 10(8 + -1x) Combine like terms: 45x + 12x = 57x -54 + 57x = 10(8 + -1x) -54 + 57x = (8 * 10 + -1x * 10) -54 + 57x = (80 + -10x) Solving -54 + 57x = 80 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -54 + 57x + 10x = 80 + -10x + 10x Combine like terms: 57x + 10x = 67x -54 + 67x = 80 + -10x + 10x Combine like terms: -10x + 10x = 0 -54 + 67x = 80 + 0 -54 + 67x = 80 Add '54' to each side of the equation. -54 + 54 + 67x = 80 + 54 Combine like terms: -54 + 54 = 0 0 + 67x = 80 + 54 67x = 80 + 54 Combine like terms: 80 + 54 = 134 67x = 134 Divide each side by '67'. x = 2 Simplifying x = 2
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