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Simplifying 5x + 10 = -4x + 1 Reorder the terms: 10 + 5x = -4x + 1 Reorder the terms: 10 + 5x = 1 + -4x Solving 10 + 5x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 5x + 4x = 1 + -4x + 4x Combine like terms: 5x + 4x = 9x 10 + 9x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 9x = 1 + 0 10 + 9x = 1 Add '-10' to each side of the equation. 10 + -10 + 9x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 1 + -10 9x = 1 + -10 Combine like terms: 1 + -10 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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