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Simplifying 3(5x + -5) = 33 + 7x Reorder the terms: 3(-5 + 5x) = 33 + 7x (-5 * 3 + 5x * 3) = 33 + 7x (-15 + 15x) = 33 + 7x Solving -15 + 15x = 33 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 15x + -7x = 33 + 7x + -7x Combine like terms: 15x + -7x = 8x -15 + 8x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 8x = 33 + 0 -15 + 8x = 33 Add '15' to each side of the equation. -15 + 15 + 8x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 33 + 15 8x = 33 + 15 Combine like terms: 33 + 15 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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