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Simplifying -2x + x + 10 = 6 + -1(2x + 3x + -8) Reorder the terms: 10 + -2x + x = 6 + -1(2x + 3x + -8) Combine like terms: -2x + x = -1x 10 + -1x = 6 + -1(2x + 3x + -8) Reorder the terms: 10 + -1x = 6 + -1(-8 + 2x + 3x) Combine like terms: 2x + 3x = 5x 10 + -1x = 6 + -1(-8 + 5x) 10 + -1x = 6 + (-8 * -1 + 5x * -1) 10 + -1x = 6 + (8 + -5x) Combine like terms: 6 + 8 = 14 10 + -1x = 14 + -5x Solving 10 + -1x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -1x + 5x = 14 + -5x + 5x Combine like terms: -1x + 5x = 4x 10 + 4x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 4x = 14 + 0 10 + 4x = 14 Add '-10' to each side of the equation. 10 + -10 + 4x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 14 + -10 4x = 14 + -10 Combine like terms: 14 + -10 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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