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Simplifying 3(x + -5) = 33 + -3x Reorder the terms: 3(-5 + x) = 33 + -3x (-5 * 3 + x * 3) = 33 + -3x (-15 + 3x) = 33 + -3x Solving -15 + 3x = 33 + -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 + 3x + 3x = 33 + -3x + 3x Combine like terms: 3x + 3x = 6x -15 + 6x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 6x = 33 + 0 -15 + 6x = 33 Add '15' to each side of the equation. -15 + 15 + 6x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 33 + 15 6x = 33 + 15 Combine like terms: 33 + 15 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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