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Simplifying -2(x + 2) + 5 = 8(x + 3) + 4 Reorder the terms: -2(2 + x) + 5 = 8(x + 3) + 4 (2 * -2 + x * -2) + 5 = 8(x + 3) + 4 (-4 + -2x) + 5 = 8(x + 3) + 4 Reorder the terms: -4 + 5 + -2x = 8(x + 3) + 4 Combine like terms: -4 + 5 = 1 1 + -2x = 8(x + 3) + 4 Reorder the terms: 1 + -2x = 8(3 + x) + 4 1 + -2x = (3 * 8 + x * 8) + 4 1 + -2x = (24 + 8x) + 4 Reorder the terms: 1 + -2x = 24 + 4 + 8x Combine like terms: 24 + 4 = 28 1 + -2x = 28 + 8x Solving 1 + -2x = 28 + 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 = 28 + 8x + -8x Combine like terms: -2x + -8x = -10x 1 + -10x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -10x = 28 + 0 1 + -10x = 28 Add '-1' to each side of the equation. 1 + -1 + -10x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 28 + -1 -10x = 28 + -1 Combine like terms: 28 + -1 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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