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Simplifying x + 4 + x + -2 = x + 3 + x + 4 + x + 5 Reorder the terms: 4 + -2 + x + x = x + 3 + x + 4 + x + 5 Combine like terms: 4 + -2 = 2 2 + x + x = x + 3 + x + 4 + x + 5 Combine like terms: x + x = 2x 2 + 2x = x + 3 + x + 4 + x + 5 Reorder the terms: 2 + 2x = 3 + 4 + 5 + x + x + x Combine like terms: 3 + 4 = 7 2 + 2x = 7 + 5 + x + x + x Combine like terms: 7 + 5 = 12 2 + 2x = 12 + x + x + x Combine like terms: x + x = 2x 2 + 2x = 12 + 2x + x Combine like terms: 2x + x = 3x 2 + 2x = 12 + 3x Solving 2 + 2x = 12 + 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. 2 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = 12 + 0 2 + -1x = 12 Add '-2' to each side of the equation. 2 + -2 + -1x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 12 + -2 -1x = 12 + -2 Combine like terms: 12 + -2 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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