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Simplifying -2(x + 4) + 5 = 8(x + 5) + 3 Reorder the terms: -2(4 + x) + 5 = 8(x + 5) + 3 (4 * -2 + x * -2) + 5 = 8(x + 5) + 3 (-8 + -2x) + 5 = 8(x + 5) + 3 Reorder the terms: -8 + 5 + -2x = 8(x + 5) + 3 Combine like terms: -8 + 5 = -3 -3 + -2x = 8(x + 5) + 3 Reorder the terms: -3 + -2x = 8(5 + x) + 3 -3 + -2x = (5 * 8 + x * 8) + 3 -3 + -2x = (40 + 8x) + 3 Reorder the terms: -3 + -2x = 40 + 3 + 8x Combine like terms: 40 + 3 = 43 -3 + -2x = 43 + 8x Solving -3 + -2x = 43 + 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. -3 + -2x + -8x = 43 + 8x + -8x Combine like terms: -2x + -8x = -10x -3 + -10x = 43 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -10x = 43 + 0 -3 + -10x = 43 Add '3' to each side of the equation. -3 + 3 + -10x = 43 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 43 + 3 -10x = 43 + 3 Combine like terms: 43 + 3 = 46 -10x = 46 Divide each side by '-10'. x = -4.6 Simplifying x = -4.6
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