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Simplifying 3x + -5(x + 2) = 7x + 2 Reorder the terms: 3x + -5(2 + x) = 7x + 2 3x + (2 * -5 + x * -5) = 7x + 2 3x + (-10 + -5x) = 7x + 2 Reorder the terms: -10 + 3x + -5x = 7x + 2 Combine like terms: 3x + -5x = -2x -10 + -2x = 7x + 2 Reorder the terms: -10 + -2x = 2 + 7x Solving -10 + -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. -10 + -2x + -7x = 2 + 7x + -7x Combine like terms: -2x + -7x = -9x -10 + -9x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -9x = 2 + 0 -10 + -9x = 2 Add '10' to each side of the equation. -10 + 10 + -9x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 2 + 10 -9x = 2 + 10 Combine like terms: 2 + 10 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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