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Simplifying 10x + -12 = 14x + 7 Reorder the terms: -12 + 10x = 14x + 7 Reorder the terms: -12 + 10x = 7 + 14x Solving -12 + 10x = 7 + 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. -12 + 10x + -14x = 7 + 14x + -14x Combine like terms: 10x + -14x = -4x -12 + -4x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -4x = 7 + 0 -12 + -4x = 7 Add '12' to each side of the equation. -12 + 12 + -4x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 7 + 12 -4x = 7 + 12 Combine like terms: 7 + 12 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75
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