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Simplifying -3x + -5(x + 6) = -33 + -7x Reorder the terms: -3x + -5(6 + x) = -33 + -7x -3x + (6 * -5 + x * -5) = -33 + -7x -3x + (-30 + -5x) = -33 + -7x Reorder the terms: -30 + -3x + -5x = -33 + -7x Combine like terms: -3x + -5x = -8x -30 + -8x = -33 + -7x Solving -30 + -8x = -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. -30 + -8x + 7x = -33 + -7x + 7x Combine like terms: -8x + 7x = -1x -30 + -1x = -33 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + -1x = -33 + 0 -30 + -1x = -33 Add '30' to each side of the equation. -30 + 30 + -1x = -33 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -33 + 30 -1x = -33 + 30 Combine like terms: -33 + 30 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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