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Simplifying 2(5x + 1) = 8(5x + -11) Reorder the terms: 2(1 + 5x) = 8(5x + -11) (1 * 2 + 5x * 2) = 8(5x + -11) (2 + 10x) = 8(5x + -11) Reorder the terms: 2 + 10x = 8(-11 + 5x) 2 + 10x = (-11 * 8 + 5x * 8) 2 + 10x = (-88 + 40x) Solving 2 + 10x = -88 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 2 + 10x + -40x = -88 + 40x + -40x Combine like terms: 10x + -40x = -30x 2 + -30x = -88 + 40x + -40x Combine like terms: 40x + -40x = 0 2 + -30x = -88 + 0 2 + -30x = -88 Add '-2' to each side of the equation. 2 + -2 + -30x = -88 + -2 Combine like terms: 2 + -2 = 0 0 + -30x = -88 + -2 -30x = -88 + -2 Combine like terms: -88 + -2 = -90 -30x = -90 Divide each side by '-30'. x = 3 Simplifying x = 3
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