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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 = 38x -60 + 38x = -98 + -14x + 14x Combine like terms: -14x + 14x = 0 -60 + 38x = -98 + 0 -60 + 38x = -98 Add '60' to each side of the equation. -60 + 60 + 38x = -98 + 60 Combine like terms: -60 + 60 = 0 0 + 38x = -98 + 60 38x = -98 + 60 Combine like terms: -98 + 60 = -38 38x = -38 Divide each side by '38'. x = -1 Simplifying x = -1
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