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