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Simplifying 2x + 3(2x + -1) + -4(x + -2) = 32 Reorder the terms: 2x + 3(-1 + 2x) + -4(x + -2) = 32 2x + (-1 * 3 + 2x * 3) + -4(x + -2) = 32 2x + (-3 + 6x) + -4(x + -2) = 32 Reorder the terms: 2x + -3 + 6x + -4(-2 + x) = 32 2x + -3 + 6x + (-2 * -4 + x * -4) = 32 2x + -3 + 6x + (8 + -4x) = 32 Reorder the terms: -3 + 8 + 2x + 6x + -4x = 32 Combine like terms: -3 + 8 = 5 5 + 2x + 6x + -4x = 32 Combine like terms: 2x + 6x = 8x 5 + 8x + -4x = 32 Combine like terms: 8x + -4x = 4x 5 + 4x = 32 Solving 5 + 4x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 32 + -5 4x = 32 + -5 Combine like terms: 32 + -5 = 27 4x = 27 Divide each side by '4'. x = 6.75 Simplifying x = 6.75
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