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Simplifying 5(3x + -6) = 14x + 14 Reorder the terms: 5(-6 + 3x) = 14x + 14 (-6 * 5 + 3x * 5) = 14x + 14 (-30 + 15x) = 14x + 14 Reorder the terms: -30 + 15x = 14 + 14x Solving -30 + 15x = 14 + 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. -30 + 15x + -14x = 14 + 14x + -14x Combine like terms: 15x + -14x = 1x -30 + 1x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + 1x = 14 + 0 -30 + 1x = 14 Add '30' to each side of the equation. -30 + 30 + 1x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 14 + 30 1x = 14 + 30 Combine like terms: 14 + 30 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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