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Simplifying 4(-2 + 3x) = 3(-2x + 5) (-2 * 4 + 3x * 4) = 3(-2x + 5) (-8 + 12x) = 3(-2x + 5) Reorder the terms: -8 + 12x = 3(5 + -2x) -8 + 12x = (5 * 3 + -2x * 3) -8 + 12x = (15 + -6x) Solving -8 + 12x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 12x + 6x = 15 + -6x + 6x Combine like terms: 12x + 6x = 18x -8 + 18x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 18x = 15 + 0 -8 + 18x = 15 Add '8' to each side of the equation. -8 + 8 + 18x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 15 + 8 18x = 15 + 8 Combine like terms: 15 + 8 = 23 18x = 23 Divide each side by '18'. x = 1.277777778 Simplifying x = 1.277777778
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