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Simplifying 7(-1x + -4) = -2x + -33 Reorder the terms: 7(-4 + -1x) = -2x + -33 (-4 * 7 + -1x * 7) = -2x + -33 (-28 + -7x) = -2x + -33 Reorder the terms: -28 + -7x = -33 + -2x Solving -28 + -7x = -33 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + -7x + 2x = -33 + -2x + 2x Combine like terms: -7x + 2x = -5x -28 + -5x = -33 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + -5x = -33 + 0 -28 + -5x = -33 Add '28' to each side of the equation. -28 + 28 + -5x = -33 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = -33 + 28 -5x = -33 + 28 Combine like terms: -33 + 28 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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