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Simplifying 10(2x + -6) = 14x + 54 Reorder the terms: 10(-6 + 2x) = 14x + 54 (-6 * 10 + 2x * 10) = 14x + 54 (-60 + 20x) = 14x + 54 Reorder the terms: -60 + 20x = 54 + 14x Solving -60 + 20x = 54 + 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. -60 + 20x + -14x = 54 + 14x + -14x Combine like terms: 20x + -14x = 6x -60 + 6x = 54 + 14x + -14x Combine like terms: 14x + -14x = 0 -60 + 6x = 54 + 0 -60 + 6x = 54 Add '60' to each side of the equation. -60 + 60 + 6x = 54 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = 54 + 60 6x = 54 + 60 Combine like terms: 54 + 60 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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