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Simplifying 7x + -33 = -3(x + 1) Reorder the terms: -33 + 7x = -3(x + 1) Reorder the terms: -33 + 7x = -3(1 + x) -33 + 7x = (1 * -3 + x * -3) -33 + 7x = (-3 + -3x) Solving -33 + 7x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -33 + 7x + 3x = -3 + -3x + 3x Combine like terms: 7x + 3x = 10x -33 + 10x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 10x = -3 + 0 -33 + 10x = -3 Add '33' to each side of the equation. -33 + 33 + 10x = -3 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = -3 + 33 10x = -3 + 33 Combine like terms: -3 + 33 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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