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Simplifying 5x + -10x + 2 = 3x + 6 Reorder the terms: 2 + 5x + -10x = 3x + 6 Combine like terms: 5x + -10x = -5x 2 + -5x = 3x + 6 Reorder the terms: 2 + -5x = 6 + 3x Solving 2 + -5x = 6 + 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 + -5x + -3x = 6 + 3x + -3x Combine like terms: -5x + -3x = -8x 2 + -8x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -8x = 6 + 0 2 + -8x = 6 Add '-2' to each side of the equation. 2 + -2 + -8x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 6 + -2 -8x = 6 + -2 Combine like terms: 6 + -2 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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