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Simplifying 5(x + -1) + 2x = 2x + 10 + 4x Reorder the terms: 5(-1 + x) + 2x = 2x + 10 + 4x (-1 * 5 + x * 5) + 2x = 2x + 10 + 4x (-5 + 5x) + 2x = 2x + 10 + 4x Combine like terms: 5x + 2x = 7x -5 + 7x = 2x + 10 + 4x Reorder the terms: -5 + 7x = 10 + 2x + 4x Combine like terms: 2x + 4x = 6x -5 + 7x = 10 + 6x Solving -5 + 7x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 7x + -6x = 10 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = 10 + 0 -5 + 1x = 10 Add '5' to each side of the equation. -5 + 5 + 1x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 10 + 5 1x = 10 + 5 Combine like terms: 10 + 5 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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