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Simplifying -7(1 + 4x) = 33 + -8x (1 * -7 + 4x * -7) = 33 + -8x (-7 + -28x) = 33 + -8x Solving -7 + -28x = 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. -7 + -28x + 8x = 33 + -8x + 8x Combine like terms: -28x + 8x = -20x -7 + -20x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + -20x = 33 + 0 -7 + -20x = 33 Add '7' to each side of the equation. -7 + 7 + -20x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -20x = 33 + 7 -20x = 33 + 7 Combine like terms: 33 + 7 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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