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Simplifying 13(x + 1) = 7(2x + -5) Reorder the terms: 13(1 + x) = 7(2x + -5) (1 * 13 + x * 13) = 7(2x + -5) (13 + 13x) = 7(2x + -5) Reorder the terms: 13 + 13x = 7(-5 + 2x) 13 + 13x = (-5 * 7 + 2x * 7) 13 + 13x = (-35 + 14x) Solving 13 + 13x = -35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 13 + 13x + -14x = -35 + 14x + -14x Combine like terms: 13x + -14x = -1x 13 + -1x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + -1x = -35 + 0 13 + -1x = -35 Add '-13' to each side of the equation. 13 + -13 + -1x = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -35 + -13 -1x = -35 + -13 Combine like terms: -35 + -13 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48
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