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Simplifying 5(1 + -7x) = -33 + 3x (1 * 5 + -7x * 5) = -33 + 3x (5 + -35x) = -33 + 3x Solving 5 + -35x = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -35x + -3x = -33 + 3x + -3x Combine like terms: -35x + -3x = -38x 5 + -38x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -38x = -33 + 0 5 + -38x = -33 Add '-5' to each side of the equation. 5 + -5 + -38x = -33 + -5 Combine like terms: 5 + -5 = 0 0 + -38x = -33 + -5 -38x = -33 + -5 Combine like terms: -33 + -5 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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