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Simplifying 7(4 + -3x) = 2(8x + 9) + 6 (4 * 7 + -3x * 7) = 2(8x + 9) + 6 (28 + -21x) = 2(8x + 9) + 6 Reorder the terms: 28 + -21x = 2(9 + 8x) + 6 28 + -21x = (9 * 2 + 8x * 2) + 6 28 + -21x = (18 + 16x) + 6 Reorder the terms: 28 + -21x = 18 + 6 + 16x Combine like terms: 18 + 6 = 24 28 + -21x = 24 + 16x Solving 28 + -21x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 28 + -21x + -16x = 24 + 16x + -16x Combine like terms: -21x + -16x = -37x 28 + -37x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 28 + -37x = 24 + 0 28 + -37x = 24 Add '-28' to each side of the equation. 28 + -28 + -37x = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -37x = 24 + -28 -37x = 24 + -28 Combine like terms: 24 + -28 = -4 -37x = -4 Divide each side by '-37'. x = 0.1081081081 Simplifying x = 0.1081081081
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