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Simplifying 5(1 + 4x) = -33 + x (1 * 5 + 4x * 5) = -33 + x (5 + 20x) = -33 + x Solving 5 + 20x = -33 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 20x + -1x = -33 + x + -1x Combine like terms: 20x + -1x = 19x 5 + 19x = -33 + x + -1x Combine like terms: x + -1x = 0 5 + 19x = -33 + 0 5 + 19x = -33 Add '-5' to each side of the equation. 5 + -5 + 19x = -33 + -5 Combine like terms: 5 + -5 = 0 0 + 19x = -33 + -5 19x = -33 + -5 Combine like terms: -33 + -5 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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