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Simplifying 6x + 10 + -3x = 8 + 2x + -5 Reorder the terms: 10 + 6x + -3x = 8 + 2x + -5 Combine like terms: 6x + -3x = 3x 10 + 3x = 8 + 2x + -5 Reorder the terms: 10 + 3x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 10 + 3x = 3 + 2x Solving 10 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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