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Simplifying 20 + 2(3x + 10) = 2x + -3(3 + x) Reorder the terms: 20 + 2(10 + 3x) = 2x + -3(3 + x) 20 + (10 * 2 + 3x * 2) = 2x + -3(3 + x) 20 + (20 + 6x) = 2x + -3(3 + x) Combine like terms: 20 + 20 = 40 40 + 6x = 2x + -3(3 + x) 40 + 6x = 2x + (3 * -3 + x * -3) 40 + 6x = 2x + (-9 + -3x) Reorder the terms: 40 + 6x = -9 + 2x + -3x Combine like terms: 2x + -3x = -1x 40 + 6x = -9 + -1x Solving 40 + 6x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + 6x + x = -9 + -1x + x Combine like terms: 6x + x = 7x 40 + 7x = -9 + -1x + x Combine like terms: -1x + x = 0 40 + 7x = -9 + 0 40 + 7x = -9 Add '-40' to each side of the equation. 40 + -40 + 7x = -9 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = -9 + -40 7x = -9 + -40 Combine like terms: -9 + -40 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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