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Simplifying -2(x + 4) + 3 = 8(x + 2) + 6 Reorder the terms: -2(4 + x) + 3 = 8(x + 2) + 6 (4 * -2 + x * -2) + 3 = 8(x + 2) + 6 (-8 + -2x) + 3 = 8(x + 2) + 6 Reorder the terms: -8 + 3 + -2x = 8(x + 2) + 6 Combine like terms: -8 + 3 = -5 -5 + -2x = 8(x + 2) + 6 Reorder the terms: -5 + -2x = 8(2 + x) + 6 -5 + -2x = (2 * 8 + x * 8) + 6 -5 + -2x = (16 + 8x) + 6 Reorder the terms: -5 + -2x = 16 + 6 + 8x Combine like terms: 16 + 6 = 22 -5 + -2x = 22 + 8x Solving -5 + -2x = 22 + 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. -5 + -2x + -8x = 22 + 8x + -8x Combine like terms: -2x + -8x = -10x -5 + -10x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -10x = 22 + 0 -5 + -10x = 22 Add '5' to each side of the equation. -5 + 5 + -10x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 22 + 5 -10x = 22 + 5 Combine like terms: 22 + 5 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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