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Simplifying 5(x + -1) + 2 = 7x Reorder the terms: 5(-1 + x) + 2 = 7x (-1 * 5 + x * 5) + 2 = 7x (-5 + 5x) + 2 = 7x Reorder the terms: -5 + 2 + 5x = 7x Combine like terms: -5 + 2 = -3 -3 + 5x = 7x Solving -3 + 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -3 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -2x = 0 Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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