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Simplifying 5x + 12 + -3x = 9 + 4x + -5 Reorder the terms: 12 + 5x + -3x = 9 + 4x + -5 Combine like terms: 5x + -3x = 2x 12 + 2x = 9 + 4x + -5 Reorder the terms: 12 + 2x = 9 + -5 + 4x Combine like terms: 9 + -5 = 4 12 + 2x = 4 + 4x Solving 12 + 2x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 2x + -4x = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = 4 + 0 12 + -2x = 4 Add '-12' to each side of the equation. 12 + -12 + -2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 4 + -12 -2x = 4 + -12 Combine like terms: 4 + -12 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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