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Simplifying 6(4x + 1) + -2(3x + -3) = 24 Reorder the terms: 6(1 + 4x) + -2(3x + -3) = 24 (1 * 6 + 4x * 6) + -2(3x + -3) = 24 (6 + 24x) + -2(3x + -3) = 24 Reorder the terms: 6 + 24x + -2(-3 + 3x) = 24 6 + 24x + (-3 * -2 + 3x * -2) = 24 6 + 24x + (6 + -6x) = 24 Reorder the terms: 6 + 6 + 24x + -6x = 24 Combine like terms: 6 + 6 = 12 12 + 24x + -6x = 24 Combine like terms: 24x + -6x = 18x 12 + 18x = 24 Solving 12 + 18x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 24 + -12 18x = 24 + -12 Combine like terms: 24 + -12 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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