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Simplifying -1(x + -5) + 6x + -3 = -1(2x + 8) + 1 Reorder the terms: -1(-5 + x) + 6x + -3 = -1(2x + 8) + 1 (-5 * -1 + x * -1) + 6x + -3 = -1(2x + 8) + 1 (5 + -1x) + 6x + -3 = -1(2x + 8) + 1 Reorder the terms: 5 + -3 + -1x + 6x = -1(2x + 8) + 1 Combine like terms: 5 + -3 = 2 2 + -1x + 6x = -1(2x + 8) + 1 Combine like terms: -1x + 6x = 5x 2 + 5x = -1(2x + 8) + 1 Reorder the terms: 2 + 5x = -1(8 + 2x) + 1 2 + 5x = (8 * -1 + 2x * -1) + 1 2 + 5x = (-8 + -2x) + 1 Reorder the terms: 2 + 5x = -8 + 1 + -2x Combine like terms: -8 + 1 = -7 2 + 5x = -7 + -2x Solving 2 + 5x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 5x + 2x = -7 + -2x + 2x Combine like terms: 5x + 2x = 7x 2 + 7x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 7x = -7 + 0 2 + 7x = -7 Add '-2' to each side of the equation. 2 + -2 + 7x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -7 + -2 7x = -7 + -2 Combine like terms: -7 + -2 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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