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Simplifying 7x + -2(x + -4) = 9x + -1(5x + 13) Reorder the terms: 7x + -2(-4 + x) = 9x + -1(5x + 13) 7x + (-4 * -2 + x * -2) = 9x + -1(5x + 13) 7x + (8 + -2x) = 9x + -1(5x + 13) Reorder the terms: 8 + 7x + -2x = 9x + -1(5x + 13) Combine like terms: 7x + -2x = 5x 8 + 5x = 9x + -1(5x + 13) Reorder the terms: 8 + 5x = 9x + -1(13 + 5x) 8 + 5x = 9x + (13 * -1 + 5x * -1) 8 + 5x = 9x + (-13 + -5x) Reorder the terms: 8 + 5x = -13 + 9x + -5x Combine like terms: 9x + -5x = 4x 8 + 5x = -13 + 4x Solving 8 + 5x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 5x + -4x = -13 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = -13 + 0 8 + 1x = -13 Add '-8' to each side of the equation. 8 + -8 + 1x = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -13 + -8 1x = -13 + -8 Combine like terms: -13 + -8 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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