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Simplifying 5x + -9x + 10 = -2x Reorder the terms: 10 + 5x + -9x = -2x Combine like terms: 5x + -9x = -4x 10 + -4x = -2x Solving 10 + -4x = -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 + -4x + 2x = -2x + 2x Combine like terms: -4x + 2x = -2x 10 + -2x = -2x + 2x Combine like terms: -2x + 2x = 0 10 + -2x = 0 Add '-10' to each side of the equation. 10 + -10 + -2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 0 + -10 -2x = 0 + -10 Combine like terms: 0 + -10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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