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Simplifying 5(2x + 1) + -5 = 2(4x + -2) Reorder the terms: 5(1 + 2x) + -5 = 2(4x + -2) (1 * 5 + 2x * 5) + -5 = 2(4x + -2) (5 + 10x) + -5 = 2(4x + -2) Reorder the terms: 5 + -5 + 10x = 2(4x + -2) Combine like terms: 5 + -5 = 0 0 + 10x = 2(4x + -2) 10x = 2(4x + -2) Reorder the terms: 10x = 2(-2 + 4x) 10x = (-2 * 2 + 4x * 2) 10x = (-4 + 8x) Solving 10x = -4 + 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. 10x + -8x = -4 + 8x + -8x Combine like terms: 10x + -8x = 2x 2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 2x = -4 + 0 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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