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Simplifying 5(2x + -1) + 4x = 10 + -1x Reorder the terms: 5(-1 + 2x) + 4x = 10 + -1x (-1 * 5 + 2x * 5) + 4x = 10 + -1x (-5 + 10x) + 4x = 10 + -1x Combine like terms: 10x + 4x = 14x -5 + 14x = 10 + -1x Solving -5 + 14x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 14x + x = 10 + -1x + x Combine like terms: 14x + x = 15x -5 + 15x = 10 + -1x + x Combine like terms: -1x + x = 0 -5 + 15x = 10 + 0 -5 + 15x = 10 Add '5' to each side of the equation. -5 + 5 + 15x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 10 + 5 15x = 10 + 5 Combine like terms: 10 + 5 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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