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Simplifying -2(x + 2) + 5 = 8(x + 5) + 2 Reorder the terms: -2(2 + x) + 5 = 8(x + 5) + 2 (2 * -2 + x * -2) + 5 = 8(x + 5) + 2 (-4 + -2x) + 5 = 8(x + 5) + 2 Reorder the terms: -4 + 5 + -2x = 8(x + 5) + 2 Combine like terms: -4 + 5 = 1 1 + -2x = 8(x + 5) + 2 Reorder the terms: 1 + -2x = 8(5 + x) + 2 1 + -2x = (5 * 8 + x * 8) + 2 1 + -2x = (40 + 8x) + 2 Reorder the terms: 1 + -2x = 40 + 2 + 8x Combine like terms: 40 + 2 = 42 1 + -2x = 42 + 8x Solving 1 + -2x = 42 + 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. 1 + -2x + -8x = 42 + 8x + -8x Combine like terms: -2x + -8x = -10x 1 + -10x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -10x = 42 + 0 1 + -10x = 42 Add '-1' to each side of the equation. 1 + -1 + -10x = 42 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 42 + -1 -10x = 42 + -1 Combine like terms: 42 + -1 = 41 -10x = 41 Divide each side by '-10'. x = -4.1 Simplifying x = -4.1
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