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Simplifying 2x + 28 = 7(-5x + 4) Reorder the terms: 28 + 2x = 7(-5x + 4) Reorder the terms: 28 + 2x = 7(4 + -5x) 28 + 2x = (4 * 7 + -5x * 7) 28 + 2x = (28 + -35x) Add '-28' to each side of the equation. 28 + -28 + 2x = 28 + -28 + -35x Combine like terms: 28 + -28 = 0 0 + 2x = 28 + -28 + -35x 2x = 28 + -28 + -35x Combine like terms: 28 + -28 = 0 2x = 0 + -35x 2x = -35x Solving 2x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 2x + 35x = -35x + 35x Combine like terms: 2x + 35x = 37x 37x = -35x + 35x Combine like terms: -35x + 35x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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