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Simplifying 2(3 + -2x) + -5 = 4x + 12(2 + -1x) (3 * 2 + -2x * 2) + -5 = 4x + 12(2 + -1x) (6 + -4x) + -5 = 4x + 12(2 + -1x) Reorder the terms: 6 + -5 + -4x = 4x + 12(2 + -1x) Combine like terms: 6 + -5 = 1 1 + -4x = 4x + 12(2 + -1x) 1 + -4x = 4x + (2 * 12 + -1x * 12) 1 + -4x = 4x + (24 + -12x) Reorder the terms: 1 + -4x = 24 + 4x + -12x Combine like terms: 4x + -12x = -8x 1 + -4x = 24 + -8x Solving 1 + -4x = 24 + -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. 1 + -4x + 8x = 24 + -8x + 8x Combine like terms: -4x + 8x = 4x 1 + 4x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 4x = 24 + 0 1 + 4x = 24 Add '-1' to each side of the equation. 1 + -1 + 4x = 24 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 24 + -1 4x = 24 + -1 Combine like terms: 24 + -1 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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