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Simplifying 4x + -10 = -9x + 5 Reorder the terms: -10 + 4x = -9x + 5 Reorder the terms: -10 + 4x = 5 + -9x Solving -10 + 4x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -10 + 4x + 9x = 5 + -9x + 9x Combine like terms: 4x + 9x = 13x -10 + 13x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 13x = 5 + 0 -10 + 13x = 5 Add '10' to each side of the equation. -10 + 10 + 13x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 5 + 10 13x = 5 + 10 Combine like terms: 5 + 10 = 15 13x = 15 Divide each side by '13'. x = 1.153846154 Simplifying x = 1.153846154
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