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Simplifying 8(3x + 4) + -30 = 12 + 14x Reorder the terms: 8(4 + 3x) + -30 = 12 + 14x (4 * 8 + 3x * 8) + -30 = 12 + 14x (32 + 24x) + -30 = 12 + 14x Reorder the terms: 32 + -30 + 24x = 12 + 14x Combine like terms: 32 + -30 = 2 2 + 24x = 12 + 14x Solving 2 + 24x = 12 + 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. 2 + 24x + -14x = 12 + 14x + -14x Combine like terms: 24x + -14x = 10x 2 + 10x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + 10x = 12 + 0 2 + 10x = 12 Add '-2' to each side of the equation. 2 + -2 + 10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 12 + -2 10x = 12 + -2 Combine like terms: 12 + -2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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