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Simplifying 6(4x + -3) + -1(3x + -15) = 9 + -1(6x + 15) Reorder the terms: 6(-3 + 4x) + -1(3x + -15) = 9 + -1(6x + 15) (-3 * 6 + 4x * 6) + -1(3x + -15) = 9 + -1(6x + 15) (-18 + 24x) + -1(3x + -15) = 9 + -1(6x + 15) Reorder the terms: -18 + 24x + -1(-15 + 3x) = 9 + -1(6x + 15) -18 + 24x + (-15 * -1 + 3x * -1) = 9 + -1(6x + 15) -18 + 24x + (15 + -3x) = 9 + -1(6x + 15) Reorder the terms: -18 + 15 + 24x + -3x = 9 + -1(6x + 15) Combine like terms: -18 + 15 = -3 -3 + 24x + -3x = 9 + -1(6x + 15) Combine like terms: 24x + -3x = 21x -3 + 21x = 9 + -1(6x + 15) Reorder the terms: -3 + 21x = 9 + -1(15 + 6x) -3 + 21x = 9 + (15 * -1 + 6x * -1) -3 + 21x = 9 + (-15 + -6x) Combine like terms: 9 + -15 = -6 -3 + 21x = -6 + -6x Solving -3 + 21x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 21x + 6x = -6 + -6x + 6x Combine like terms: 21x + 6x = 27x -3 + 27x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 27x = -6 + 0 -3 + 27x = -6 Add '3' to each side of the equation. -3 + 3 + 27x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 27x = -6 + 3 27x = -6 + 3 Combine like terms: -6 + 3 = -3 27x = -3 Divide each side by '27'. x = -0.1111111111 Simplifying x = -0.1111111111
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