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Simplifying 5(x + -3) + 2(x + 5) = 6 + -2x Reorder the terms: 5(-3 + x) + 2(x + 5) = 6 + -2x (-3 * 5 + x * 5) + 2(x + 5) = 6 + -2x (-15 + 5x) + 2(x + 5) = 6 + -2x Reorder the terms: -15 + 5x + 2(5 + x) = 6 + -2x -15 + 5x + (5 * 2 + x * 2) = 6 + -2x -15 + 5x + (10 + 2x) = 6 + -2x Reorder the terms: -15 + 10 + 5x + 2x = 6 + -2x Combine like terms: -15 + 10 = -5 -5 + 5x + 2x = 6 + -2x Combine like terms: 5x + 2x = 7x -5 + 7x = 6 + -2x Solving -5 + 7x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 7x + 2x = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x -5 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 9x = 6 + 0 -5 + 9x = 6 Add '5' to each side of the equation. -5 + 5 + 9x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 6 + 5 9x = 6 + 5 Combine like terms: 6 + 5 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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