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Simplifying 6(x + 5) + -4(x + 1) = 9(x + 3) Reorder the terms: 6(5 + x) + -4(x + 1) = 9(x + 3) (5 * 6 + x * 6) + -4(x + 1) = 9(x + 3) (30 + 6x) + -4(x + 1) = 9(x + 3) Reorder the terms: 30 + 6x + -4(1 + x) = 9(x + 3) 30 + 6x + (1 * -4 + x * -4) = 9(x + 3) 30 + 6x + (-4 + -4x) = 9(x + 3) Reorder the terms: 30 + -4 + 6x + -4x = 9(x + 3) Combine like terms: 30 + -4 = 26 26 + 6x + -4x = 9(x + 3) Combine like terms: 6x + -4x = 2x 26 + 2x = 9(x + 3) Reorder the terms: 26 + 2x = 9(3 + x) 26 + 2x = (3 * 9 + x * 9) 26 + 2x = (27 + 9x) Solving 26 + 2x = 27 + 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. 26 + 2x + -9x = 27 + 9x + -9x Combine like terms: 2x + -9x = -7x 26 + -7x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 26 + -7x = 27 + 0 26 + -7x = 27 Add '-26' to each side of the equation. 26 + -26 + -7x = 27 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = 27 + -26 -7x = 27 + -26 Combine like terms: 27 + -26 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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