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Simplifying -2(x + 6) + 4 = 8(x + 5) + 6 Reorder the terms: -2(6 + x) + 4 = 8(x + 5) + 6 (6 * -2 + x * -2) + 4 = 8(x + 5) + 6 (-12 + -2x) + 4 = 8(x + 5) + 6 Reorder the terms: -12 + 4 + -2x = 8(x + 5) + 6 Combine like terms: -12 + 4 = -8 -8 + -2x = 8(x + 5) + 6 Reorder the terms: -8 + -2x = 8(5 + x) + 6 -8 + -2x = (5 * 8 + x * 8) + 6 -8 + -2x = (40 + 8x) + 6 Reorder the terms: -8 + -2x = 40 + 6 + 8x Combine like terms: 40 + 6 = 46 -8 + -2x = 46 + 8x Solving -8 + -2x = 46 + 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. -8 + -2x + -8x = 46 + 8x + -8x Combine like terms: -2x + -8x = -10x -8 + -10x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -10x = 46 + 0 -8 + -10x = 46 Add '8' to each side of the equation. -8 + 8 + -10x = 46 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 46 + 8 -10x = 46 + 8 Combine like terms: 46 + 8 = 54 -10x = 54 Divide each side by '-10'. x = -5.4 Simplifying x = -5.4
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