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Simplifying -7x + -33 = -5 + 2(1 + 4x) Reorder the terms: -33 + -7x = -5 + 2(1 + 4x) -33 + -7x = -5 + (1 * 2 + 4x * 2) -33 + -7x = -5 + (2 + 8x) Combine like terms: -5 + 2 = -3 -33 + -7x = -3 + 8x Solving -33 + -7x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -33 + -7x + -8x = -3 + 8x + -8x Combine like terms: -7x + -8x = -15x -33 + -15x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -33 + -15x = -3 + 0 -33 + -15x = -3 Add '33' to each side of the equation. -33 + 33 + -15x = -3 + 33 Combine like terms: -33 + 33 = 0 0 + -15x = -3 + 33 -15x = -3 + 33 Combine like terms: -3 + 33 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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