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Simplifying -4x + 6x + 10 = -2x + -5 + 15 Reorder the terms: 10 + -4x + 6x = -2x + -5 + 15 Combine like terms: -4x + 6x = 2x 10 + 2x = -2x + -5 + 15 Reorder the terms: 10 + 2x = -5 + 15 + -2x Combine like terms: -5 + 15 = 10 10 + 2x = 10 + -2x Add '-10' to each side of the equation. 10 + -10 + 2x = 10 + -10 + -2x Combine like terms: 10 + -10 = 0 0 + 2x = 10 + -10 + -2x 2x = 10 + -10 + -2x Combine like terms: 10 + -10 = 0 2x = 0 + -2x 2x = -2x Solving 2x = -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. 2x + 2x = -2x + 2x Combine like terms: 2x + 2x = 4x 4x = -2x + 2x Combine like terms: -2x + 2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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