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Simplifying 4(x + 7) = 3(2 + 3x) Reorder the terms: 4(7 + x) = 3(2 + 3x) (7 * 4 + x * 4) = 3(2 + 3x) (28 + 4x) = 3(2 + 3x) 28 + 4x = (2 * 3 + 3x * 3) 28 + 4x = (6 + 9x) Solving 28 + 4x = 6 + 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 + 4x + -9x = 6 + 9x + -9x Combine like terms: 4x + -9x = -5x 28 + -5x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -5x = 6 + 0 28 + -5x = 6 Add '-28' to each side of the equation. 28 + -28 + -5x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 6 + -28 -5x = 6 + -28 Combine like terms: 6 + -28 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4
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