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Simplifying 7(3x + 4) + -5(2x + 3) = 4(2x + 9) Reorder the terms: 7(4 + 3x) + -5(2x + 3) = 4(2x + 9) (4 * 7 + 3x * 7) + -5(2x + 3) = 4(2x + 9) (28 + 21x) + -5(2x + 3) = 4(2x + 9) Reorder the terms: 28 + 21x + -5(3 + 2x) = 4(2x + 9) 28 + 21x + (3 * -5 + 2x * -5) = 4(2x + 9) 28 + 21x + (-15 + -10x) = 4(2x + 9) Reorder the terms: 28 + -15 + 21x + -10x = 4(2x + 9) Combine like terms: 28 + -15 = 13 13 + 21x + -10x = 4(2x + 9) Combine like terms: 21x + -10x = 11x 13 + 11x = 4(2x + 9) Reorder the terms: 13 + 11x = 4(9 + 2x) 13 + 11x = (9 * 4 + 2x * 4) 13 + 11x = (36 + 8x) Solving 13 + 11x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13 + 11x + -8x = 36 + 8x + -8x Combine like terms: 11x + -8x = 3x 13 + 3x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + 3x = 36 + 0 13 + 3x = 36 Add '-13' to each side of the equation. 13 + -13 + 3x = 36 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 36 + -13 3x = 36 + -13 Combine like terms: 36 + -13 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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