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Simplifying -2(x + 3) + 5 = 8(x + 2) + 4 Reorder the terms: -2(3 + x) + 5 = 8(x + 2) + 4 (3 * -2 + x * -2) + 5 = 8(x + 2) + 4 (-6 + -2x) + 5 = 8(x + 2) + 4 Reorder the terms: -6 + 5 + -2x = 8(x + 2) + 4 Combine like terms: -6 + 5 = -1 -1 + -2x = 8(x + 2) + 4 Reorder the terms: -1 + -2x = 8(2 + x) + 4 -1 + -2x = (2 * 8 + x * 8) + 4 -1 + -2x = (16 + 8x) + 4 Reorder the terms: -1 + -2x = 16 + 4 + 8x Combine like terms: 16 + 4 = 20 -1 + -2x = 20 + 8x Solving -1 + -2x = 20 + 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 = 20 + 8x + -8x Combine like terms: -2x + -8x = -10x -1 + -10x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -10x = 20 + 0 -1 + -10x = 20 Add '1' to each side of the equation. -1 + 1 + -10x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 20 + 1 -10x = 20 + 1 Combine like terms: 20 + 1 = 21 -10x = 21 Divide each side by '-10'. x = -2.1 Simplifying x = -2.1
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