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Simplifying 7(5x + -4) = 5 + 2x Reorder the terms: 7(-4 + 5x) = 5 + 2x (-4 * 7 + 5x * 7) = 5 + 2x (-28 + 35x) = 5 + 2x Solving -28 + 35x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 35x + -2x = 5 + 2x + -2x Combine like terms: 35x + -2x = 33x -28 + 33x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 33x = 5 + 0 -28 + 33x = 5 Add '28' to each side of the equation. -28 + 28 + 33x = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 33x = 5 + 28 33x = 5 + 28 Combine like terms: 5 + 28 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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