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Simplifying 3x + -2(x + 5) = 8 + -5x Reorder the terms: 3x + -2(5 + x) = 8 + -5x 3x + (5 * -2 + x * -2) = 8 + -5x 3x + (-10 + -2x) = 8 + -5x Reorder the terms: -10 + 3x + -2x = 8 + -5x Combine like terms: 3x + -2x = 1x -10 + 1x = 8 + -5x Solving -10 + 1x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + 1x + 5x = 8 + -5x + 5x Combine like terms: 1x + 5x = 6x -10 + 6x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 6x = 8 + 0 -10 + 6x = 8 Add '10' to each side of the equation. -10 + 10 + 6x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 8 + 10 6x = 8 + 10 Combine like terms: 8 + 10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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