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Simplifying -2(x + 5) + 5 = 8(x + 2) + 5 Reorder the terms: -2(5 + x) + 5 = 8(x + 2) + 5 (5 * -2 + x * -2) + 5 = 8(x + 2) + 5 (-10 + -2x) + 5 = 8(x + 2) + 5 Reorder the terms: -10 + 5 + -2x = 8(x + 2) + 5 Combine like terms: -10 + 5 = -5 -5 + -2x = 8(x + 2) + 5 Reorder the terms: -5 + -2x = 8(2 + x) + 5 -5 + -2x = (2 * 8 + x * 8) + 5 -5 + -2x = (16 + 8x) + 5 Reorder the terms: -5 + -2x = 16 + 5 + 8x Combine like terms: 16 + 5 = 21 -5 + -2x = 21 + 8x Solving -5 + -2x = 21 + 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. -5 + -2x + -8x = 21 + 8x + -8x Combine like terms: -2x + -8x = -10x -5 + -10x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -10x = 21 + 0 -5 + -10x = 21 Add '5' to each side of the equation. -5 + 5 + -10x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 21 + 5 -10x = 21 + 5 Combine like terms: 21 + 5 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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