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Simplifying 5 + -1(2x + 4) = 33 + -6x Reorder the terms: 5 + -1(4 + 2x) = 33 + -6x 5 + (4 * -1 + 2x * -1) = 33 + -6x 5 + (-4 + -2x) = 33 + -6x Combine like terms: 5 + -4 = 1 1 + -2x = 33 + -6x Solving 1 + -2x = 33 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -2x + 6x = 33 + -6x + 6x Combine like terms: -2x + 6x = 4x 1 + 4x = 33 + -6x + 6x Combine like terms: -6x + 6x = 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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