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Simplifying 5(4 + 2x) + -1(8x + -2x) + -1(8x + -12) = 68 (4 * 5 + 2x * 5) + -1(8x + -2x) + -1(8x + -12) = 68 (20 + 10x) + -1(8x + -2x) + -1(8x + -12) = 68 Combine like terms: 8x + -2x = 6x 20 + 10x + -1(6x) + -1(8x + -12) = 68 Remove parenthesis around (6x) 20 + 10x + -1 * 6x + -1(8x + -12) = 68 Multiply -1 * 6 20 + 10x + -6x + -1(8x + -12) = 68 Reorder the terms: 20 + 10x + -6x + -1(-12 + 8x) = 68 20 + 10x + -6x + (-12 * -1 + 8x * -1) = 68 20 + 10x + -6x + (12 + -8x) = 68 Reorder the terms: 20 + 12 + 10x + -6x + -8x = 68 Combine like terms: 20 + 12 = 32 32 + 10x + -6x + -8x = 68 Combine like terms: 10x + -6x = 4x 32 + 4x + -8x = 68 Combine like terms: 4x + -8x = -4x 32 + -4x = 68 Solving 32 + -4x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -4x = 68 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 68 + -32 -4x = 68 + -32 Combine like terms: 68 + -32 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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