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Simplifying 15(12 + -1x) = 13(3 + -1x) (12 * 15 + -1x * 15) = 13(3 + -1x) (180 + -15x) = 13(3 + -1x) 180 + -15x = (3 * 13 + -1x * 13) 180 + -15x = (39 + -13x) Solving 180 + -15x = 39 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 180 + -15x + 13x = 39 + -13x + 13x Combine like terms: -15x + 13x = -2x 180 + -2x = 39 + -13x + 13x Combine like terms: -13x + 13x = 0 180 + -2x = 39 + 0 180 + -2x = 39 Add '-180' to each side of the equation. 180 + -180 + -2x = 39 + -180 Combine like terms: 180 + -180 = 0 0 + -2x = 39 + -180 -2x = 39 + -180 Combine like terms: 39 + -180 = -141 -2x = -141 Divide each side by '-2'. x = 70.5 Simplifying x = 70.5
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