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Simplifying -2(3x + -1) + 3 = 4(2x + 5) Reorder the terms: -2(-1 + 3x) + 3 = 4(2x + 5) (-1 * -2 + 3x * -2) + 3 = 4(2x + 5) (2 + -6x) + 3 = 4(2x + 5) Reorder the terms: 2 + 3 + -6x = 4(2x + 5) Combine like terms: 2 + 3 = 5 5 + -6x = 4(2x + 5) Reorder the terms: 5 + -6x = 4(5 + 2x) 5 + -6x = (5 * 4 + 2x * 4) 5 + -6x = (20 + 8x) Solving 5 + -6x = 20 + 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. 5 + -6x + -8x = 20 + 8x + -8x Combine like terms: -6x + -8x = -14x 5 + -14x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -14x = 20 + 0 5 + -14x = 20 Add '-5' to each side of the equation. 5 + -5 + -14x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 20 + -5 -14x = 20 + -5 Combine like terms: 20 + -5 = 15 -14x = 15 Divide each side by '-14'. x = -1.071428571 Simplifying x = -1.071428571
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