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Simplifying -33 + -4x = 2 + -3(4x + -7) Reorder the terms: -33 + -4x = 2 + -3(-7 + 4x) -33 + -4x = 2 + (-7 * -3 + 4x * -3) -33 + -4x = 2 + (21 + -12x) Combine like terms: 2 + 21 = 23 -33 + -4x = 23 + -12x Solving -33 + -4x = 23 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -33 + -4x + 12x = 23 + -12x + 12x Combine like terms: -4x + 12x = 8x -33 + 8x = 23 + -12x + 12x Combine like terms: -12x + 12x = 0 -33 + 8x = 23 + 0 -33 + 8x = 23 Add '33' to each side of the equation. -33 + 33 + 8x = 23 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = 23 + 33 8x = 23 + 33 Combine like terms: 23 + 33 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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