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Simplifying 2x + -2 + 3x + 12 = 4x + 4 + -1x + 5 Reorder the terms: -2 + 12 + 2x + 3x = 4x + 4 + -1x + 5 Combine like terms: -2 + 12 = 10 10 + 2x + 3x = 4x + 4 + -1x + 5 Combine like terms: 2x + 3x = 5x 10 + 5x = 4x + 4 + -1x + 5 Reorder the terms: 10 + 5x = 4 + 5 + 4x + -1x Combine like terms: 4 + 5 = 9 10 + 5x = 9 + 4x + -1x Combine like terms: 4x + -1x = 3x 10 + 5x = 9 + 3x Solving 10 + 5x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = 9 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 9 + 0 10 + 2x = 9 Add '-10' to each side of the equation. 10 + -10 + 2x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 9 + -10 2x = 9 + -10 Combine like terms: 9 + -10 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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