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Simplifying -2(x + 5) + 6 = 8(x + 3) + 5 Reorder the terms: -2(5 + x) + 6 = 8(x + 3) + 5 (5 * -2 + x * -2) + 6 = 8(x + 3) + 5 (-10 + -2x) + 6 = 8(x + 3) + 5 Reorder the terms: -10 + 6 + -2x = 8(x + 3) + 5 Combine like terms: -10 + 6 = -4 -4 + -2x = 8(x + 3) + 5 Reorder the terms: -4 + -2x = 8(3 + x) + 5 -4 + -2x = (3 * 8 + x * 8) + 5 -4 + -2x = (24 + 8x) + 5 Reorder the terms: -4 + -2x = 24 + 5 + 8x Combine like terms: 24 + 5 = 29 -4 + -2x = 29 + 8x Solving -4 + -2x = 29 + 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. -4 + -2x + -8x = 29 + 8x + -8x Combine like terms: -2x + -8x = -10x -4 + -10x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -10x = 29 + 0 -4 + -10x = 29 Add '4' to each side of the equation. -4 + 4 + -10x = 29 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 29 + 4 -10x = 29 + 4 Combine like terms: 29 + 4 = 33 -10x = 33 Divide each side by '-10'. x = -3.3 Simplifying x = -3.3
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