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Simplifying 5x + 10 = 6x + 31 + -3 + 2x Reorder the terms: 10 + 5x = 6x + 31 + -3 + 2x Reorder the terms: 10 + 5x = 31 + -3 + 6x + 2x Combine like terms: 31 + -3 = 28 10 + 5x = 28 + 6x + 2x Combine like terms: 6x + 2x = 8x 10 + 5x = 28 + 8x Solving 10 + 5x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 5x + -8x = 28 + 8x + -8x Combine like terms: 5x + -8x = -3x 10 + -3x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -3x = 28 + 0 10 + -3x = 28 Add '-10' to each side of the equation. 10 + -10 + -3x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 28 + -10 -3x = 28 + -10 Combine like terms: 28 + -10 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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