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Simplifying 8x + 4(x + -2) + 4(x + -1) = 68 Reorder the terms: 8x + 4(-2 + x) + 4(x + -1) = 68 8x + (-2 * 4 + x * 4) + 4(x + -1) = 68 8x + (-8 + 4x) + 4(x + -1) = 68 Reorder the terms: 8x + -8 + 4x + 4(-1 + x) = 68 8x + -8 + 4x + (-1 * 4 + x * 4) = 68 8x + -8 + 4x + (-4 + 4x) = 68 Reorder the terms: -8 + -4 + 8x + 4x + 4x = 68 Combine like terms: -8 + -4 = -12 -12 + 8x + 4x + 4x = 68 Combine like terms: 8x + 4x = 12x -12 + 12x + 4x = 68 Combine like terms: 12x + 4x = 16x -12 + 16x = 68 Solving -12 + 16x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16x = 68 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 68 + 12 16x = 68 + 12 Combine like terms: 68 + 12 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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