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Simplifying -3(x + 7) + -1(3 + 3x) = -7x Reorder the terms: -3(7 + x) + -1(3 + 3x) = -7x (7 * -3 + x * -3) + -1(3 + 3x) = -7x (-21 + -3x) + -1(3 + 3x) = -7x -21 + -3x + (3 * -1 + 3x * -1) = -7x -21 + -3x + (-3 + -3x) = -7x Reorder the terms: -21 + -3 + -3x + -3x = -7x Combine like terms: -21 + -3 = -24 -24 + -3x + -3x = -7x Combine like terms: -3x + -3x = -6x -24 + -6x = -7x Solving -24 + -6x = -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. -24 + -6x + 7x = -7x + 7x Combine like terms: -6x + 7x = 1x -24 + 1x = -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 1x = 0 Add '24' to each side of the equation. -24 + 24 + 1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 0 + 24 1x = 0 + 24 Combine like terms: 0 + 24 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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