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Simplifying (2x + -3) + 8(x + -4) = 2(2x + 6) Reorder the terms: (-3 + 2x) + 8(x + -4) = 2(2x + 6) Remove parenthesis around (-3 + 2x) -3 + 2x + 8(x + -4) = 2(2x + 6) Reorder the terms: -3 + 2x + 8(-4 + x) = 2(2x + 6) -3 + 2x + (-4 * 8 + x * 8) = 2(2x + 6) -3 + 2x + (-32 + 8x) = 2(2x + 6) Reorder the terms: -3 + -32 + 2x + 8x = 2(2x + 6) Combine like terms: -3 + -32 = -35 -35 + 2x + 8x = 2(2x + 6) Combine like terms: 2x + 8x = 10x -35 + 10x = 2(2x + 6) Reorder the terms: -35 + 10x = 2(6 + 2x) -35 + 10x = (6 * 2 + 2x * 2) -35 + 10x = (12 + 4x) Solving -35 + 10x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x -35 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 6x = 12 + 0 -35 + 6x = 12 Add '35' to each side of the equation. -35 + 35 + 6x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = 12 + 35 6x = 12 + 35 Combine like terms: 12 + 35 = 47 6x = 47 Divide each side by '6'. x = 7.833333333 Simplifying x = 7.833333333
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