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Simplifying 2(3x + 5) = 5(x + -4) + -1(5 + -3x) Reorder the terms: 2(5 + 3x) = 5(x + -4) + -1(5 + -3x) (5 * 2 + 3x * 2) = 5(x + -4) + -1(5 + -3x) (10 + 6x) = 5(x + -4) + -1(5 + -3x) Reorder the terms: 10 + 6x = 5(-4 + x) + -1(5 + -3x) 10 + 6x = (-4 * 5 + x * 5) + -1(5 + -3x) 10 + 6x = (-20 + 5x) + -1(5 + -3x) 10 + 6x = -20 + 5x + (5 * -1 + -3x * -1) 10 + 6x = -20 + 5x + (-5 + 3x) Reorder the terms: 10 + 6x = -20 + -5 + 5x + 3x Combine like terms: -20 + -5 = -25 10 + 6x = -25 + 5x + 3x Combine like terms: 5x + 3x = 8x 10 + 6x = -25 + 8x Solving 10 + 6x = -25 + 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. 10 + 6x + -8x = -25 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -25 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -25 + 0 10 + -2x = -25 Add '-10' to each side of the equation. 10 + -10 + -2x = -25 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -25 + -10 -2x = -25 + -10 Combine like terms: -25 + -10 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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