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Simplifying 3(3x + -1) * 2 = 5(2x + 2) Reorder the terms: 3(-1 + 3x) * 2 = 5(2x + 2) Reorder the terms for easier multiplication: 3 * 2(-1 + 3x) = 5(2x + 2) Multiply 3 * 2 6(-1 + 3x) = 5(2x + 2) (-1 * 6 + 3x * 6) = 5(2x + 2) (-6 + 18x) = 5(2x + 2) Reorder the terms: -6 + 18x = 5(2 + 2x) -6 + 18x = (2 * 5 + 2x * 5) -6 + 18x = (10 + 10x) Solving -6 + 18x = 10 + 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 + 18x + -10x = 10 + 10x + -10x Combine like terms: 18x + -10x = 8x -6 + 8x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 8x = 10 + 0 -6 + 8x = 10 Add '6' to each side of the equation. -6 + 6 + 8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 10 + 6 8x = 10 + 6 Combine like terms: 10 + 6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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