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Simplifying 2(4x + 2) + -8 = 2(5x + 2) + -3 Reorder the terms: 2(2 + 4x) + -8 = 2(5x + 2) + -3 (2 * 2 + 4x * 2) + -8 = 2(5x + 2) + -3 (4 + 8x) + -8 = 2(5x + 2) + -3 Reorder the terms: 4 + -8 + 8x = 2(5x + 2) + -3 Combine like terms: 4 + -8 = -4 -4 + 8x = 2(5x + 2) + -3 Reorder the terms: -4 + 8x = 2(2 + 5x) + -3 -4 + 8x = (2 * 2 + 5x * 2) + -3 -4 + 8x = (4 + 10x) + -3 Reorder the terms: -4 + 8x = 4 + -3 + 10x Combine like terms: 4 + -3 = 1 -4 + 8x = 1 + 10x Solving -4 + 8x = 1 + 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. -4 + 8x + -10x = 1 + 10x + -10x Combine like terms: 8x + -10x = -2x -4 + -2x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -2x = 1 + 0 -4 + -2x = 1 Add '4' to each side of the equation. -4 + 4 + -2x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 1 + 4 -2x = 1 + 4 Combine like terms: 1 + 4 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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