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Simplifying 5x + 10 = 3x + -2x + 6 Reorder the terms: 10 + 5x = 3x + -2x + 6 Reorder the terms: 10 + 5x = 6 + 3x + -2x Combine like terms: 3x + -2x = 1x 10 + 5x = 6 + 1x Solving 10 + 5x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 5x + -1x = 6 + 1x + -1x Combine like terms: 5x + -1x = 4x 10 + 4x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + 4x = 6 + 0 10 + 4x = 6 Add '-10' to each side of the equation. 10 + -10 + 4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 6 + -10 4x = 6 + -10 Combine like terms: 6 + -10 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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