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Simplifying 4x + -12 = 6x + -36 + 14 Reorder the terms: -12 + 4x = 6x + -36 + 14 Reorder the terms: -12 + 4x = -36 + 14 + 6x Combine like terms: -36 + 14 = -22 -12 + 4x = -22 + 6x Solving -12 + 4x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 4x + -6x = -22 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = -22 + 0 -12 + -2x = -22 Add '12' to each side of the equation. -12 + 12 + -2x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -22 + 12 -2x = -22 + 12 Combine like terms: -22 + 12 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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