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Simplifying 3(2x + 3) = 4(x + -2) + 20 Reorder the terms: 3(3 + 2x) = 4(x + -2) + 20 (3 * 3 + 2x * 3) = 4(x + -2) + 20 (9 + 6x) = 4(x + -2) + 20 Reorder the terms: 9 + 6x = 4(-2 + x) + 20 9 + 6x = (-2 * 4 + x * 4) + 20 9 + 6x = (-8 + 4x) + 20 Reorder the terms: 9 + 6x = -8 + 20 + 4x Combine like terms: -8 + 20 = 12 9 + 6x = 12 + 4x Solving 9 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 9 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 2x = 12 + 0 9 + 2x = 12 Add '-9' to each side of the equation. 9 + -9 + 2x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 12 + -9 2x = 12 + -9 Combine like terms: 12 + -9 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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