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Simplifying 3(2x + -3) + 2(5 + 1) = 3x + 18 Reorder the terms: 3(-3 + 2x) + 2(5 + 1) = 3x + 18 (-3 * 3 + 2x * 3) + 2(5 + 1) = 3x + 18 (-9 + 6x) + 2(5 + 1) = 3x + 18 Combine like terms: 5 + 1 = 6 -9 + 6x + 2(6) = 3x + 18 Multiply 2 * 6 -9 + 6x + 12 = 3x + 18 Reorder the terms: -9 + 12 + 6x = 3x + 18 Combine like terms: -9 + 12 = 3 3 + 6x = 3x + 18 Reorder the terms: 3 + 6x = 18 + 3x Solving 3 + 6x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = 18 + 0 3 + 3x = 18 Add '-3' to each side of the equation. 3 + -3 + 3x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 18 + -3 3x = 18 + -3 Combine like terms: 18 + -3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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