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Simplifying 12(x + 3) = 14(x + -5) Reorder the terms: 12(3 + x) = 14(x + -5) (3 * 12 + x * 12) = 14(x + -5) (36 + 12x) = 14(x + -5) Reorder the terms: 36 + 12x = 14(-5 + x) 36 + 12x = (-5 * 14 + x * 14) 36 + 12x = (-70 + 14x) Solving 36 + 12x = -70 + 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. 36 + 12x + -14x = -70 + 14x + -14x Combine like terms: 12x + -14x = -2x 36 + -2x = -70 + 14x + -14x Combine like terms: 14x + -14x = 0 36 + -2x = -70 + 0 36 + -2x = -70 Add '-36' to each side of the equation. 36 + -36 + -2x = -70 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -70 + -36 -2x = -70 + -36 Combine like terms: -70 + -36 = -106 -2x = -106 Divide each side by '-2'. x = 53 Simplifying x = 53
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