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Simplifying 5(4 + 2x) + -1(8x + -12) = 68 + 4(2x + -3) (4 * 5 + 2x * 5) + -1(8x + -12) = 68 + 4(2x + -3) (20 + 10x) + -1(8x + -12) = 68 + 4(2x + -3) Reorder the terms: 20 + 10x + -1(-12 + 8x) = 68 + 4(2x + -3) 20 + 10x + (-12 * -1 + 8x * -1) = 68 + 4(2x + -3) 20 + 10x + (12 + -8x) = 68 + 4(2x + -3) Reorder the terms: 20 + 12 + 10x + -8x = 68 + 4(2x + -3) Combine like terms: 20 + 12 = 32 32 + 10x + -8x = 68 + 4(2x + -3) Combine like terms: 10x + -8x = 2x 32 + 2x = 68 + 4(2x + -3) Reorder the terms: 32 + 2x = 68 + 4(-3 + 2x) 32 + 2x = 68 + (-3 * 4 + 2x * 4) 32 + 2x = 68 + (-12 + 8x) Combine like terms: 68 + -12 = 56 32 + 2x = 56 + 8x Solving 32 + 2x = 56 + 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. 32 + 2x + -8x = 56 + 8x + -8x Combine like terms: 2x + -8x = -6x 32 + -6x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -6x = 56 + 0 32 + -6x = 56 Add '-32' to each side of the equation. 32 + -32 + -6x = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 56 + -32 -6x = 56 + -32 Combine like terms: 56 + -32 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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