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Simplifying 12(2x + -5) = 14(x + 7) Reorder the terms: 12(-5 + 2x) = 14(x + 7) (-5 * 12 + 2x * 12) = 14(x + 7) (-60 + 24x) = 14(x + 7) Reorder the terms: -60 + 24x = 14(7 + x) -60 + 24x = (7 * 14 + x * 14) -60 + 24x = (98 + 14x) Solving -60 + 24x = 98 + 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 + 24x + -14x = 98 + 14x + -14x Combine like terms: 24x + -14x = 10x -60 + 10x = 98 + 14x + -14x Combine like terms: 14x + -14x = 0 -60 + 10x = 98 + 0 -60 + 10x = 98 Add '60' to each side of the equation. -60 + 60 + 10x = 98 + 60 Combine like terms: -60 + 60 = 0 0 + 10x = 98 + 60 10x = 98 + 60 Combine like terms: 98 + 60 = 158 10x = 158 Divide each side by '10'. x = 15.8 Simplifying x = 15.8
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