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Simplifying -2x + -5 + -2(x + -3) = 9x + -1(7x + -8) + -8x + 5 Reorder the terms: -2x + -5 + -2(-3 + x) = 9x + -1(7x + -8) + -8x + 5 -2x + -5 + (-3 * -2 + x * -2) = 9x + -1(7x + -8) + -8x + 5 -2x + -5 + (6 + -2x) = 9x + -1(7x + -8) + -8x + 5 Reorder the terms: -5 + 6 + -2x + -2x = 9x + -1(7x + -8) + -8x + 5 Combine like terms: -5 + 6 = 1 1 + -2x + -2x = 9x + -1(7x + -8) + -8x + 5 Combine like terms: -2x + -2x = -4x 1 + -4x = 9x + -1(7x + -8) + -8x + 5 Reorder the terms: 1 + -4x = 9x + -1(-8 + 7x) + -8x + 5 1 + -4x = 9x + (-8 * -1 + 7x * -1) + -8x + 5 1 + -4x = 9x + (8 + -7x) + -8x + 5 Reorder the terms: 1 + -4x = 8 + 5 + 9x + -7x + -8x Combine like terms: 8 + 5 = 13 1 + -4x = 13 + 9x + -7x + -8x Combine like terms: 9x + -7x = 2x 1 + -4x = 13 + 2x + -8x Combine like terms: 2x + -8x = -6x 1 + -4x = 13 + -6x Solving 1 + -4x = 13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -4x + 6x = 13 + -6x + 6x Combine like terms: -4x + 6x = 2x 1 + 2x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 2x = 13 + 0 1 + 2x = 13 Add '-1' to each side of the equation. 1 + -1 + 2x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 13 + -1 2x = 13 + -1 Combine like terms: 13 + -1 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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