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Simplifying 6(4x + -9) + -3(5x + 12) = 3 Reorder the terms: 6(-9 + 4x) + -3(5x + 12) = 3 (-9 * 6 + 4x * 6) + -3(5x + 12) = 3 (-54 + 24x) + -3(5x + 12) = 3 Reorder the terms: -54 + 24x + -3(12 + 5x) = 3 -54 + 24x + (12 * -3 + 5x * -3) = 3 -54 + 24x + (-36 + -15x) = 3 Reorder the terms: -54 + -36 + 24x + -15x = 3 Combine like terms: -54 + -36 = -90 -90 + 24x + -15x = 3 Combine like terms: 24x + -15x = 9x -90 + 9x = 3 Solving -90 + 9x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 9x = 3 + 90 Combine like terms: -90 + 90 = 0 0 + 9x = 3 + 90 9x = 3 + 90 Combine like terms: 3 + 90 = 93 9x = 93 Divide each side by '9'. x = 10.33333333 Simplifying x = 10.33333333
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