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Simplifying 5(1 + 3x) + 7(4 + -1x) = 9 (1 * 5 + 3x * 5) + 7(4 + -1x) = 9 (5 + 15x) + 7(4 + -1x) = 9 5 + 15x + (4 * 7 + -1x * 7) = 9 5 + 15x + (28 + -7x) = 9 Reorder the terms: 5 + 28 + 15x + -7x = 9 Combine like terms: 5 + 28 = 33 33 + 15x + -7x = 9 Combine like terms: 15x + -7x = 8x 33 + 8x = 9 Solving 33 + 8x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 8x = 9 + -33 Combine like terms: 33 + -33 = 0 0 + 8x = 9 + -33 8x = 9 + -33 Combine like terms: 9 + -33 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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