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Simplifying 5(x + -3) + 3(x + -2) = 33 Reorder the terms: 5(-3 + x) + 3(x + -2) = 33 (-3 * 5 + x * 5) + 3(x + -2) = 33 (-15 + 5x) + 3(x + -2) = 33 Reorder the terms: -15 + 5x + 3(-2 + x) = 33 -15 + 5x + (-2 * 3 + x * 3) = 33 -15 + 5x + (-6 + 3x) = 33 Reorder the terms: -15 + -6 + 5x + 3x = 33 Combine like terms: -15 + -6 = -21 -21 + 5x + 3x = 33 Combine like terms: 5x + 3x = 8x -21 + 8x = 33 Solving -21 + 8x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8x = 33 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 33 + 21 8x = 33 + 21 Combine like terms: 33 + 21 = 54 8x = 54 Divide each side by '8'. x = 6.75 Simplifying x = 6.75
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