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Simplifying 6 + -1(3x + -4) = 5 + x + 3(2x + -8) Reorder the terms: 6 + -1(-4 + 3x) = 5 + x + 3(2x + -8) 6 + (-4 * -1 + 3x * -1) = 5 + x + 3(2x + -8) 6 + (4 + -3x) = 5 + x + 3(2x + -8) Combine like terms: 6 + 4 = 10 10 + -3x = 5 + x + 3(2x + -8) Reorder the terms: 10 + -3x = 5 + x + 3(-8 + 2x) 10 + -3x = 5 + x + (-8 * 3 + 2x * 3) 10 + -3x = 5 + x + (-24 + 6x) Reorder the terms: 10 + -3x = 5 + -24 + x + 6x Combine like terms: 5 + -24 = -19 10 + -3x = -19 + x + 6x Combine like terms: x + 6x = 7x 10 + -3x = -19 + 7x Solving 10 + -3x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -3x + -7x = -19 + 7x + -7x Combine like terms: -3x + -7x = -10x 10 + -10x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -10x = -19 + 0 10 + -10x = -19 Add '-10' to each side of the equation. 10 + -10 + -10x = -19 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -19 + -10 -10x = -19 + -10 Combine like terms: -19 + -10 = -29 -10x = -29 Divide each side by '-10'. x = 2.9 Simplifying x = 2.9
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