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Simplifying 4x + 12 + -14 = 7x + -7 Reorder the terms: 12 + -14 + 4x = 7x + -7 Combine like terms: 12 + -14 = -2 -2 + 4x = 7x + -7 Reorder the terms: -2 + 4x = -7 + 7x Solving -2 + 4x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 4x + -7x = -7 + 7x + -7x Combine like terms: 4x + -7x = -3x -2 + -3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -3x = -7 + 0 -2 + -3x = -7 Add '2' to each side of the equation. -2 + 2 + -3x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -7 + 2 -3x = -7 + 2 Combine like terms: -7 + 2 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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