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Simplifying 14x + -2(3x + -5) = 7x + 12 Reorder the terms: 14x + -2(-5 + 3x) = 7x + 12 14x + (-5 * -2 + 3x * -2) = 7x + 12 14x + (10 + -6x) = 7x + 12 Reorder the terms: 10 + 14x + -6x = 7x + 12 Combine like terms: 14x + -6x = 8x 10 + 8x = 7x + 12 Reorder the terms: 10 + 8x = 12 + 7x Solving 10 + 8x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 8x + -7x = 12 + 7x + -7x Combine like terms: 8x + -7x = 1x 10 + 1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 1x = 12 + 0 10 + 1x = 12 Add '-10' to each side of the equation. 10 + -10 + 1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 12 + -10 1x = 12 + -10 Combine like terms: 12 + -10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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