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Simplifying 5x + 2 + -7(x + 1) = 7x + 2 Reorder the terms: 5x + 2 + -7(1 + x) = 7x + 2 5x + 2 + (1 * -7 + x * -7) = 7x + 2 5x + 2 + (-7 + -7x) = 7x + 2 Reorder the terms: 2 + -7 + 5x + -7x = 7x + 2 Combine like terms: 2 + -7 = -5 -5 + 5x + -7x = 7x + 2 Combine like terms: 5x + -7x = -2x -5 + -2x = 7x + 2 Reorder the terms: -5 + -2x = 2 + 7x Solving -5 + -2x = 2 + 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. -5 + -2x + -7x = 2 + 7x + -7x Combine like terms: -2x + -7x = -9x -5 + -9x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -9x = 2 + 0 -5 + -9x = 2 Add '5' to each side of the equation. -5 + 5 + -9x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 2 + 5 -9x = 2 + 5 Combine like terms: 2 + 5 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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