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Simplifying 4(3x + 5) + -2 = 2x + -4(x + -1) Reorder the terms: 4(5 + 3x) + -2 = 2x + -4(x + -1) (5 * 4 + 3x * 4) + -2 = 2x + -4(x + -1) (20 + 12x) + -2 = 2x + -4(x + -1) Reorder the terms: 20 + -2 + 12x = 2x + -4(x + -1) Combine like terms: 20 + -2 = 18 18 + 12x = 2x + -4(x + -1) Reorder the terms: 18 + 12x = 2x + -4(-1 + x) 18 + 12x = 2x + (-1 * -4 + x * -4) 18 + 12x = 2x + (4 + -4x) Reorder the terms: 18 + 12x = 4 + 2x + -4x Combine like terms: 2x + -4x = -2x 18 + 12x = 4 + -2x Solving 18 + 12x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 12x + 2x = 4 + -2x + 2x Combine like terms: 12x + 2x = 14x 18 + 14x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 14x = 4 + 0 18 + 14x = 4 Add '-18' to each side of the equation. 18 + -18 + 14x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 4 + -18 14x = 4 + -18 Combine like terms: 4 + -18 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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