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Simplifying 2(3x + 5) + -5(6x + -6) = 8(10x + -8) Reorder the terms: 2(5 + 3x) + -5(6x + -6) = 8(10x + -8) (5 * 2 + 3x * 2) + -5(6x + -6) = 8(10x + -8) (10 + 6x) + -5(6x + -6) = 8(10x + -8) Reorder the terms: 10 + 6x + -5(-6 + 6x) = 8(10x + -8) 10 + 6x + (-6 * -5 + 6x * -5) = 8(10x + -8) 10 + 6x + (30 + -30x) = 8(10x + -8) Reorder the terms: 10 + 30 + 6x + -30x = 8(10x + -8) Combine like terms: 10 + 30 = 40 40 + 6x + -30x = 8(10x + -8) Combine like terms: 6x + -30x = -24x 40 + -24x = 8(10x + -8) Reorder the terms: 40 + -24x = 8(-8 + 10x) 40 + -24x = (-8 * 8 + 10x * 8) 40 + -24x = (-64 + 80x) Solving 40 + -24x = -64 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 40 + -24x + -80x = -64 + 80x + -80x Combine like terms: -24x + -80x = -104x 40 + -104x = -64 + 80x + -80x Combine like terms: 80x + -80x = 0 40 + -104x = -64 + 0 40 + -104x = -64 Add '-40' to each side of the equation. 40 + -40 + -104x = -64 + -40 Combine like terms: 40 + -40 = 0 0 + -104x = -64 + -40 -104x = -64 + -40 Combine like terms: -64 + -40 = -104 -104x = -104 Divide each side by '-104'. x = 1 Simplifying x = 1
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