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Simplifying 9(4x + -3) + -6(2x + 4) = 3(x + -15) Reorder the terms: 9(-3 + 4x) + -6(2x + 4) = 3(x + -15) (-3 * 9 + 4x * 9) + -6(2x + 4) = 3(x + -15) (-27 + 36x) + -6(2x + 4) = 3(x + -15) Reorder the terms: -27 + 36x + -6(4 + 2x) = 3(x + -15) -27 + 36x + (4 * -6 + 2x * -6) = 3(x + -15) -27 + 36x + (-24 + -12x) = 3(x + -15) Reorder the terms: -27 + -24 + 36x + -12x = 3(x + -15) Combine like terms: -27 + -24 = -51 -51 + 36x + -12x = 3(x + -15) Combine like terms: 36x + -12x = 24x -51 + 24x = 3(x + -15) Reorder the terms: -51 + 24x = 3(-15 + x) -51 + 24x = (-15 * 3 + x * 3) -51 + 24x = (-45 + 3x) Solving -51 + 24x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -51 + 24x + -3x = -45 + 3x + -3x Combine like terms: 24x + -3x = 21x -51 + 21x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -51 + 21x = -45 + 0 -51 + 21x = -45 Add '51' to each side of the equation. -51 + 51 + 21x = -45 + 51 Combine like terms: -51 + 51 = 0 0 + 21x = -45 + 51 21x = -45 + 51 Combine like terms: -45 + 51 = 6 21x = 6 Divide each side by '21'. x = 0.2857142857 Simplifying x = 0.2857142857
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