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Simplifying 3(x + -2) = 5(2x + 3) Reorder the terms: 3(-2 + x) = 5(2x + 3) (-2 * 3 + x * 3) = 5(2x + 3) (-6 + 3x) = 5(2x + 3) Reorder the terms: -6 + 3x = 5(3 + 2x) -6 + 3x = (3 * 5 + 2x * 5) -6 + 3x = (15 + 10x) Solving -6 + 3x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 3x + -10x = 15 + 10x + -10x Combine like terms: 3x + -10x = -7x -6 + -7x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -7x = 15 + 0 -6 + -7x = 15 Add '6' to each side of the equation. -6 + 6 + -7x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 15 + 6 -7x = 15 + 6 Combine like terms: 15 + 6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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