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Simplifying 3x + -4(2 + -1x) + 10 = 8 + 5(2x + -1) 3x + (2 * -4 + -1x * -4) + 10 = 8 + 5(2x + -1) 3x + (-8 + 4x) + 10 = 8 + 5(2x + -1) Reorder the terms: -8 + 10 + 3x + 4x = 8 + 5(2x + -1) Combine like terms: -8 + 10 = 2 2 + 3x + 4x = 8 + 5(2x + -1) Combine like terms: 3x + 4x = 7x 2 + 7x = 8 + 5(2x + -1) Reorder the terms: 2 + 7x = 8 + 5(-1 + 2x) 2 + 7x = 8 + (-1 * 5 + 2x * 5) 2 + 7x = 8 + (-5 + 10x) Combine like terms: 8 + -5 = 3 2 + 7x = 3 + 10x Solving 2 + 7x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 7x + -10x = 3 + 10x + -10x Combine like terms: 7x + -10x = -3x 2 + -3x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -3x = 3 + 0 2 + -3x = 3 Add '-2' to each side of the equation. 2 + -2 + -3x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 3 + -2 -3x = 3 + -2 Combine like terms: 3 + -2 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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