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Simplifying 3x + -5(x + 2) = (3 + -7x) + 5 Reorder the terms: 3x + -5(2 + x) = (3 + -7x) + 5 3x + (2 * -5 + x * -5) = (3 + -7x) + 5 3x + (-10 + -5x) = (3 + -7x) + 5 Reorder the terms: -10 + 3x + -5x = (3 + -7x) + 5 Combine like terms: 3x + -5x = -2x -10 + -2x = (3 + -7x) + 5 Remove parenthesis around (3 + -7x) -10 + -2x = 3 + -7x + 5 Reorder the terms: -10 + -2x = 3 + 5 + -7x Combine like terms: 3 + 5 = 8 -10 + -2x = 8 + -7x Solving -10 + -2x = 8 + -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 = 8 + -7x + 7x Combine like terms: -2x + 7x = 5x -10 + 5x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 5x = 8 + 0 -10 + 5x = 8 Add '10' to each side of the equation. -10 + 10 + 5x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 8 + 10 5x = 8 + 10 Combine like terms: 8 + 10 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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