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Simplifying 4x + -12 = 14x + 6 + -1x Reorder the terms: -12 + 4x = 14x + 6 + -1x Reorder the terms: -12 + 4x = 6 + 14x + -1x Combine like terms: 14x + -1x = 13x -12 + 4x = 6 + 13x Solving -12 + 4x = 6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -12 + 4x + -13x = 6 + 13x + -13x Combine like terms: 4x + -13x = -9x -12 + -9x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + -9x = 6 + 0 -12 + -9x = 6 Add '12' to each side of the equation. -12 + 12 + -9x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 6 + 12 -9x = 6 + 12 Combine like terms: 6 + 12 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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