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Simplifying 4(5 + 2x) = 3(3x + 7) (5 * 4 + 2x * 4) = 3(3x + 7) (20 + 8x) = 3(3x + 7) Reorder the terms: 20 + 8x = 3(7 + 3x) 20 + 8x = (7 * 3 + 3x * 3) 20 + 8x = (21 + 9x) Solving 20 + 8x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 8x + -9x = 21 + 9x + -9x Combine like terms: 8x + -9x = -1x 20 + -1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -1x = 21 + 0 20 + -1x = 21 Add '-20' to each side of the equation. 20 + -20 + -1x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 21 + -20 -1x = 21 + -20 Combine like terms: 21 + -20 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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