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Simplifying 7(x + -3) = -2x + 33 Reorder the terms: 7(-3 + x) = -2x + 33 (-3 * 7 + x * 7) = -2x + 33 (-21 + 7x) = -2x + 33 Reorder the terms: -21 + 7x = 33 + -2x Solving -21 + 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. -21 + 7x + 2x = 33 + -2x + 2x Combine like terms: 7x + 2x = 9x -21 + 9x = 33 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 9x = 33 + 0 -21 + 9x = 33 Add '21' to each side of the equation. -21 + 21 + 9x = 33 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 33 + 21 9x = 33 + 21 Combine like terms: 33 + 21 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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