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Simplifying 5(x + -3) = 2 + -3(x + -2) + -2 Reorder the terms: 5(-3 + x) = 2 + -3(x + -2) + -2 (-3 * 5 + x * 5) = 2 + -3(x + -2) + -2 (-15 + 5x) = 2 + -3(x + -2) + -2 Reorder the terms: -15 + 5x = 2 + -3(-2 + x) + -2 -15 + 5x = 2 + (-2 * -3 + x * -3) + -2 -15 + 5x = 2 + (6 + -3x) + -2 Reorder the terms: -15 + 5x = 2 + 6 + -2 + -3x Combine like terms: 2 + 6 = 8 -15 + 5x = 8 + -2 + -3x Combine like terms: 8 + -2 = 6 -15 + 5x = 6 + -3x Solving -15 + 5x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 5x + 3x = 6 + -3x + 3x Combine like terms: 5x + 3x = 8x -15 + 8x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 8x = 6 + 0 -15 + 8x = 6 Add '15' to each side of the equation. -15 + 15 + 8x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 6 + 15 8x = 6 + 15 Combine like terms: 6 + 15 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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