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Simplifying 8x + 10 + -12x = 4x + -14 + -5x Reorder the terms: 10 + 8x + -12x = 4x + -14 + -5x Combine like terms: 8x + -12x = -4x 10 + -4x = 4x + -14 + -5x Reorder the terms: 10 + -4x = -14 + 4x + -5x Combine like terms: 4x + -5x = -1x 10 + -4x = -14 + -1x Solving 10 + -4x = -14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -4x + x = -14 + -1x + x Combine like terms: -4x + x = -3x 10 + -3x = -14 + -1x + x Combine like terms: -1x + x = 0 10 + -3x = -14 + 0 10 + -3x = -14 Add '-10' to each side of the equation. 10 + -10 + -3x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -14 + -10 -3x = -14 + -10 Combine like terms: -14 + -10 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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