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Simplifying 20 + 3x + -8 = 19 + -1(3x + -17) Reorder the terms: 20 + -8 + 3x = 19 + -1(3x + -17) Combine like terms: 20 + -8 = 12 12 + 3x = 19 + -1(3x + -17) Reorder the terms: 12 + 3x = 19 + -1(-17 + 3x) 12 + 3x = 19 + (-17 * -1 + 3x * -1) 12 + 3x = 19 + (17 + -3x) Combine like terms: 19 + 17 = 36 12 + 3x = 36 + -3x Solving 12 + 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. 12 + 3x + 3x = 36 + -3x + 3x Combine like terms: 3x + 3x = 6x 12 + 6x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 6x = 36 + 0 12 + 6x = 36 Add '-12' to each side of the equation. 12 + -12 + 6x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 36 + -12 6x = 36 + -12 Combine like terms: 36 + -12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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