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Simplifying -3x + 10 = 5x + -6 Reorder the terms: 10 + -3x = 5x + -6 Reorder the terms: 10 + -3x = -6 + 5x Solving 10 + -3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -3x + -5x = -6 + 5x + -5x Combine like terms: -3x + -5x = -8x 10 + -8x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -8x = -6 + 0 10 + -8x = -6 Add '-10' to each side of the equation. 10 + -10 + -8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -6 + -10 -8x = -6 + -10 Combine like terms: -6 + -10 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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