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Simplifying 20 + 3(x + 8) = 19 + -1(3x + -17) Reorder the terms: 20 + 3(8 + x) = 19 + -1(3x + -17) 20 + (8 * 3 + x * 3) = 19 + -1(3x + -17) 20 + (24 + 3x) = 19 + -1(3x + -17) Combine like terms: 20 + 24 = 44 44 + 3x = 19 + -1(3x + -17) Reorder the terms: 44 + 3x = 19 + -1(-17 + 3x) 44 + 3x = 19 + (-17 * -1 + 3x * -1) 44 + 3x = 19 + (17 + -3x) Combine like terms: 19 + 17 = 36 44 + 3x = 36 + -3x Solving 44 + 3x = 36 + -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. 44 + 3x + 3x = 36 + -3x + 3x Combine like terms: 3x + 3x = 6x 44 + 6x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 44 + 6x = 36 + 0 44 + 6x = 36 Add '-44' to each side of the equation. 44 + -44 + 6x = 36 + -44 Combine like terms: 44 + -44 = 0 0 + 6x = 36 + -44 6x = 36 + -44 Combine like terms: 36 + -44 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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