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Simplifying 13 + -1(x + -5) = 4x + -1(6x + -5) Reorder the terms: 13 + -1(-5 + x) = 4x + -1(6x + -5) 13 + (-5 * -1 + x * -1) = 4x + -1(6x + -5) 13 + (5 + -1x) = 4x + -1(6x + -5) Combine like terms: 13 + 5 = 18 18 + -1x = 4x + -1(6x + -5) Reorder the terms: 18 + -1x = 4x + -1(-5 + 6x) 18 + -1x = 4x + (-5 * -1 + 6x * -1) 18 + -1x = 4x + (5 + -6x) Reorder the terms: 18 + -1x = 5 + 4x + -6x Combine like terms: 4x + -6x = -2x 18 + -1x = 5 + -2x Solving 18 + -1x = 5 + -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. 18 + -1x + 2x = 5 + -2x + 2x Combine like terms: -1x + 2x = 1x 18 + 1x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 1x = 5 + 0 18 + 1x = 5 Add '-18' to each side of the equation. 18 + -18 + 1x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 5 + -18 1x = 5 + -18 Combine like terms: 5 + -18 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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