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Simplifying -2(x + 6) + 6 = 8(x + 4) + 3 Reorder the terms: -2(6 + x) + 6 = 8(x + 4) + 3 (6 * -2 + x * -2) + 6 = 8(x + 4) + 3 (-12 + -2x) + 6 = 8(x + 4) + 3 Reorder the terms: -12 + 6 + -2x = 8(x + 4) + 3 Combine like terms: -12 + 6 = -6 -6 + -2x = 8(x + 4) + 3 Reorder the terms: -6 + -2x = 8(4 + x) + 3 -6 + -2x = (4 * 8 + x * 8) + 3 -6 + -2x = (32 + 8x) + 3 Reorder the terms: -6 + -2x = 32 + 3 + 8x Combine like terms: 32 + 3 = 35 -6 + -2x = 35 + 8x Solving -6 + -2x = 35 + 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. -6 + -2x + -8x = 35 + 8x + -8x Combine like terms: -2x + -8x = -10x -6 + -10x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -10x = 35 + 0 -6 + -10x = 35 Add '6' to each side of the equation. -6 + 6 + -10x = 35 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 35 + 6 -10x = 35 + 6 Combine like terms: 35 + 6 = 41 -10x = 41 Divide each side by '-10'. x = -4.1 Simplifying x = -4.1
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