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