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Simplifying 14(x + -5) = 12(x + 3) Reorder the terms: 14(-5 + x) = 12(x + 3) (-5 * 14 + x * 14) = 12(x + 3) (-70 + 14x) = 12(x + 3) Reorder the terms: -70 + 14x = 12(3 + x) -70 + 14x = (3 * 12 + x * 12) -70 + 14x = (36 + 12x) Solving -70 + 14x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -70 + 14x + -12x = 36 + 12x + -12x Combine like terms: 14x + -12x = 2x -70 + 2x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -70 + 2x = 36 + 0 -70 + 2x = 36 Add '70' to each side of the equation. -70 + 70 + 2x = 36 + 70 Combine like terms: -70 + 70 = 0 0 + 2x = 36 + 70 2x = 36 + 70 Combine like terms: 36 + 70 = 106 2x = 106 Divide each side by '2'. x = 53 Simplifying x = 53
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