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Simplifying 4(x + 9) = 7(x + 3) Reorder the terms: 4(9 + x) = 7(x + 3) (9 * 4 + x * 4) = 7(x + 3) (36 + 4x) = 7(x + 3) Reorder the terms: 36 + 4x = 7(3 + x) 36 + 4x = (3 * 7 + x * 7) 36 + 4x = (21 + 7x) Solving 36 + 4x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 4x + -7x = 21 + 7x + -7x Combine like terms: 4x + -7x = -3x 36 + -3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -3x = 21 + 0 36 + -3x = 21 Add '-36' to each side of the equation. 36 + -36 + -3x = 21 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 21 + -36 -3x = 21 + -36 Combine like terms: 21 + -36 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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