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Simplifying 12(x + 15) = 13x + 2 Reorder the terms: 12(15 + x) = 13x + 2 (15 * 12 + x * 12) = 13x + 2 (180 + 12x) = 13x + 2 Reorder the terms: 180 + 12x = 2 + 13x Solving 180 + 12x = 2 + 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 + 12x + -13x = 2 + 13x + -13x Combine like terms: 12x + -13x = -1x 180 + -1x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 180 + -1x = 2 + 0 180 + -1x = 2 Add '-180' to each side of the equation. 180 + -180 + -1x = 2 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 2 + -180 -1x = 2 + -180 Combine like terms: 2 + -180 = -178 -1x = -178 Divide each side by '-1'. x = 178 Simplifying x = 178
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