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Simplifying 7x + -1(5x + -3) = 6x + -1(3x + 8) Reorder the terms: 7x + -1(-3 + 5x) = 6x + -1(3x + 8) 7x + (-3 * -1 + 5x * -1) = 6x + -1(3x + 8) 7x + (3 + -5x) = 6x + -1(3x + 8) Reorder the terms: 3 + 7x + -5x = 6x + -1(3x + 8) Combine like terms: 7x + -5x = 2x 3 + 2x = 6x + -1(3x + 8) Reorder the terms: 3 + 2x = 6x + -1(8 + 3x) 3 + 2x = 6x + (8 * -1 + 3x * -1) 3 + 2x = 6x + (-8 + -3x) Reorder the terms: 3 + 2x = -8 + 6x + -3x Combine like terms: 6x + -3x = 3x 3 + 2x = -8 + 3x Solving 3 + 2x = -8 + 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. 3 + 2x + -3x = -8 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = -8 + 0 3 + -1x = -8 Add '-3' to each side of the equation. 3 + -3 + -1x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -8 + -3 -1x = -8 + -3 Combine like terms: -8 + -3 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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