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Simplifying -2(x + 3) + 3 = 8(x + 5) + 9 Reorder the terms: -2(3 + x) + 3 = 8(x + 5) + 9 (3 * -2 + x * -2) + 3 = 8(x + 5) + 9 (-6 + -2x) + 3 = 8(x + 5) + 9 Reorder the terms: -6 + 3 + -2x = 8(x + 5) + 9 Combine like terms: -6 + 3 = -3 -3 + -2x = 8(x + 5) + 9 Reorder the terms: -3 + -2x = 8(5 + x) + 9 -3 + -2x = (5 * 8 + x * 8) + 9 -3 + -2x = (40 + 8x) + 9 Reorder the terms: -3 + -2x = 40 + 9 + 8x Combine like terms: 40 + 9 = 49 -3 + -2x = 49 + 8x Solving -3 + -2x = 49 + 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 = 49 + 8x + -8x Combine like terms: -2x + -8x = -10x -3 + -10x = 49 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -10x = 49 + 0 -3 + -10x = 49 Add '3' to each side of the equation. -3 + 3 + -10x = 49 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 49 + 3 -10x = 49 + 3 Combine like terms: 49 + 3 = 52 -10x = 52 Divide each side by '-10'. x = -5.2 Simplifying x = -5.2
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