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Simplifying 4(2x + 7) = 3(4 + 3x) Reorder the terms: 4(7 + 2x) = 3(4 + 3x) (7 * 4 + 2x * 4) = 3(4 + 3x) (28 + 8x) = 3(4 + 3x) 28 + 8x = (4 * 3 + 3x * 3) 28 + 8x = (12 + 9x) Solving 28 + 8x = 12 + 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. 28 + 8x + -9x = 12 + 9x + -9x Combine like terms: 8x + -9x = -1x 28 + -1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -1x = 12 + 0 28 + -1x = 12 Add '-28' to each side of the equation. 28 + -28 + -1x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 12 + -28 -1x = 12 + -28 Combine like terms: 12 + -28 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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