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Simplifying 7 + -1(4x + 6) = 33 + -8x Reorder the terms: 7 + -1(6 + 4x) = 33 + -8x 7 + (6 * -1 + 4x * -1) = 33 + -8x 7 + (-6 + -4x) = 33 + -8x Combine like terms: 7 + -6 = 1 1 + -4x = 33 + -8x Solving 1 + -4x = 33 + -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. 1 + -4x + 8x = 33 + -8x + 8x Combine like terms: -4x + 8x = 4x 1 + 4x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 4x = 33 + 0 1 + 4x = 33 Add '-1' to each side of the equation. 1 + -1 + 4x = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 33 + -1 4x = 33 + -1 Combine like terms: 33 + -1 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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