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Simplifying 5(x + -7) + 33 = 4x + -2 Reorder the terms: 5(-7 + x) + 33 = 4x + -2 (-7 * 5 + x * 5) + 33 = 4x + -2 (-35 + 5x) + 33 = 4x + -2 Reorder the terms: -35 + 33 + 5x = 4x + -2 Combine like terms: -35 + 33 = -2 -2 + 5x = 4x + -2 Reorder the terms: -2 + 5x = -2 + 4x Add '2' to each side of the equation. -2 + 2 + 5x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + 5x = -2 + 2 + 4x 5x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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