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Simplifying 3x + 10x + 2 + -5x = 2x + 2x + -2 Reorder the terms: 2 + 3x + 10x + -5x = 2x + 2x + -2 Combine like terms: 3x + 10x = 13x 2 + 13x + -5x = 2x + 2x + -2 Combine like terms: 13x + -5x = 8x 2 + 8x = 2x + 2x + -2 Reorder the terms: 2 + 8x = -2 + 2x + 2x Combine like terms: 2x + 2x = 4x 2 + 8x = -2 + 4x Solving 2 + 8x = -2 + 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. 2 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x 2 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 4x = -2 + 0 2 + 4x = -2 Add '-2' to each side of the equation. 2 + -2 + 4x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -2 + -2 4x = -2 + -2 Combine like terms: -2 + -2 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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