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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 = -4 -4 + 3x = 19 + -1(3x + -17) Reorder the terms: -4 + 3x = 19 + -1(-17 + 3x) -4 + 3x = 19 + (-17 * -1 + 3x * -1) -4 + 3x = 19 + (17 + -3x) Combine like terms: 19 + 17 = 36 -4 + 3x = 36 + -3x Solving -4 + 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. -4 + 3x + 3x = 36 + -3x + 3x Combine like terms: 3x + 3x = 6x -4 + 6x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 6x = 36 + 0 -4 + 6x = 36 Add '4' to each side of the equation. -4 + 4 + 6x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 36 + 4 6x = 36 + 4 Combine like terms: 36 + 4 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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