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Simplifying 3(2x + 5) + -7(3x + 6) = 5(6x + 8) Reorder the terms: 3(5 + 2x) + -7(3x + 6) = 5(6x + 8) (5 * 3 + 2x * 3) + -7(3x + 6) = 5(6x + 8) (15 + 6x) + -7(3x + 6) = 5(6x + 8) Reorder the terms: 15 + 6x + -7(6 + 3x) = 5(6x + 8) 15 + 6x + (6 * -7 + 3x * -7) = 5(6x + 8) 15 + 6x + (-42 + -21x) = 5(6x + 8) Reorder the terms: 15 + -42 + 6x + -21x = 5(6x + 8) Combine like terms: 15 + -42 = -27 -27 + 6x + -21x = 5(6x + 8) Combine like terms: 6x + -21x = -15x -27 + -15x = 5(6x + 8) Reorder the terms: -27 + -15x = 5(8 + 6x) -27 + -15x = (8 * 5 + 6x * 5) -27 + -15x = (40 + 30x) Solving -27 + -15x = 40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -27 + -15x + -30x = 40 + 30x + -30x Combine like terms: -15x + -30x = -45x -27 + -45x = 40 + 30x + -30x Combine like terms: 30x + -30x = 0 -27 + -45x = 40 + 0 -27 + -45x = 40 Add '27' to each side of the equation. -27 + 27 + -45x = 40 + 27 Combine like terms: -27 + 27 = 0 0 + -45x = 40 + 27 -45x = 40 + 27 Combine like terms: 40 + 27 = 67 -45x = 67 Divide each side by '-45'. x = -1.488888889 Simplifying x = -1.488888889
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