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Simplifying -5(x + 2) + 3x + 7 = 7x + 7 Reorder the terms: -5(2 + x) + 3x + 7 = 7x + 7 (2 * -5 + x * -5) + 3x + 7 = 7x + 7 (-10 + -5x) + 3x + 7 = 7x + 7 Reorder the terms: -10 + 7 + -5x + 3x = 7x + 7 Combine like terms: -10 + 7 = -3 -3 + -5x + 3x = 7x + 7 Combine like terms: -5x + 3x = -2x -3 + -2x = 7x + 7 Reorder the terms: -3 + -2x = 7 + 7x Solving -3 + -2x = 7 + 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 + -2x + -7x = 7 + 7x + -7x Combine like terms: -2x + -7x = -9x -3 + -9x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -9x = 7 + 0 -3 + -9x = 7 Add '3' to each side of the equation. -3 + 3 + -9x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 7 + 3 -9x = 7 + 3 Combine like terms: 7 + 3 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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