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Simplifying 7x + -1(5x + 3) = 7x + -33 Reorder the terms: 7x + -1(3 + 5x) = 7x + -33 7x + (3 * -1 + 5x * -1) = 7x + -33 7x + (-3 + -5x) = 7x + -33 Reorder the terms: -3 + 7x + -5x = 7x + -33 Combine like terms: 7x + -5x = 2x -3 + 2x = 7x + -33 Reorder the terms: -3 + 2x = -33 + 7x Solving -3 + 2x = -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. -3 + 2x + -7x = -33 + 7x + -7x Combine like terms: 2x + -7x = -5x -3 + -5x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -5x = -33 + 0 -3 + -5x = -33 Add '3' to each side of the equation. -3 + 3 + -5x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -33 + 3 -5x = -33 + 3 Combine like terms: -33 + 3 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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