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Simplifying 2(4x + 10) = 5(2x + -3) Reorder the terms: 2(10 + 4x) = 5(2x + -3) (10 * 2 + 4x * 2) = 5(2x + -3) (20 + 8x) = 5(2x + -3) Reorder the terms: 20 + 8x = 5(-3 + 2x) 20 + 8x = (-3 * 5 + 2x * 5) 20 + 8x = (-15 + 10x) Solving 20 + 8x = -15 + 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. 20 + 8x + -10x = -15 + 10x + -10x Combine like terms: 8x + -10x = -2x 20 + -2x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -2x = -15 + 0 20 + -2x = -15 Add '-20' to each side of the equation. 20 + -20 + -2x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -15 + -20 -2x = -15 + -20 Combine like terms: -15 + -20 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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