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Simplifying -5(2x + 3) = -7x + -33 Reorder the terms: -5(3 + 2x) = -7x + -33 (3 * -5 + 2x * -5) = -7x + -33 (-15 + -10x) = -7x + -33 Reorder the terms: -15 + -10x = -33 + -7x Solving -15 + -10x = -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 + -10x + 7x = -33 + -7x + 7x Combine like terms: -10x + 7x = -3x -15 + -3x = -33 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + -3x = -33 + 0 -15 + -3x = -33 Add '15' to each side of the equation. -15 + 15 + -3x = -33 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -33 + 15 -3x = -33 + 15 Combine like terms: -33 + 15 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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