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Simplifying 10x + -3(x + -8) = 19 + -1(3x + -17) Reorder the terms: 10x + -3(-8 + x) = 19 + -1(3x + -17) 10x + (-8 * -3 + x * -3) = 19 + -1(3x + -17) 10x + (24 + -3x) = 19 + -1(3x + -17) Reorder the terms: 24 + 10x + -3x = 19 + -1(3x + -17) Combine like terms: 10x + -3x = 7x 24 + 7x = 19 + -1(3x + -17) Reorder the terms: 24 + 7x = 19 + -1(-17 + 3x) 24 + 7x = 19 + (-17 * -1 + 3x * -1) 24 + 7x = 19 + (17 + -3x) Combine like terms: 19 + 17 = 36 24 + 7x = 36 + -3x Solving 24 + 7x = 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. 24 + 7x + 3x = 36 + -3x + 3x Combine like terms: 7x + 3x = 10x 24 + 10x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 10x = 36 + 0 24 + 10x = 36 Add '-24' to each side of the equation. 24 + -24 + 10x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 36 + -24 10x = 36 + -24 Combine like terms: 36 + -24 = 12 10x = 12 Divide each side by '10'. x = 1.2 Simplifying x = 1.2
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