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Simplifying -1x + 33 = 3(1 + -4x) + 5x Reorder the terms: 33 + -1x = 3(1 + -4x) + 5x 33 + -1x = (1 * 3 + -4x * 3) + 5x 33 + -1x = (3 + -12x) + 5x Combine like terms: -12x + 5x = -7x 33 + -1x = 3 + -7x Solving 33 + -1x = 3 + -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. 33 + -1x + 7x = 3 + -7x + 7x Combine like terms: -1x + 7x = 6x 33 + 6x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 33 + 6x = 3 + 0 33 + 6x = 3 Add '-33' to each side of the equation. 33 + -33 + 6x = 3 + -33 Combine like terms: 33 + -33 = 0 0 + 6x = 3 + -33 6x = 3 + -33 Combine like terms: 3 + -33 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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