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Simplifying 4(2x + 1) = 2(5x + -28) Reorder the terms: 4(1 + 2x) = 2(5x + -28) (1 * 4 + 2x * 4) = 2(5x + -28) (4 + 8x) = 2(5x + -28) Reorder the terms: 4 + 8x = 2(-28 + 5x) 4 + 8x = (-28 * 2 + 5x * 2) 4 + 8x = (-56 + 10x) Solving 4 + 8x = -56 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 8x + -10x = -56 + 10x + -10x Combine like terms: 8x + -10x = -2x 4 + -2x = -56 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -2x = -56 + 0 4 + -2x = -56 Add '-4' to each side of the equation. 4 + -4 + -2x = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -56 + -4 -2x = -56 + -4 Combine like terms: -56 + -4 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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