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Simplifying 3 + 4(6x + -3) = 6 + -6(4x + -9) Reorder the terms: 3 + 4(-3 + 6x) = 6 + -6(4x + -9) 3 + (-3 * 4 + 6x * 4) = 6 + -6(4x + -9) 3 + (-12 + 24x) = 6 + -6(4x + -9) Combine like terms: 3 + -12 = -9 -9 + 24x = 6 + -6(4x + -9) Reorder the terms: -9 + 24x = 6 + -6(-9 + 4x) -9 + 24x = 6 + (-9 * -6 + 4x * -6) -9 + 24x = 6 + (54 + -24x) Combine like terms: 6 + 54 = 60 -9 + 24x = 60 + -24x Solving -9 + 24x = 60 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9 + 24x + 24x = 60 + -24x + 24x Combine like terms: 24x + 24x = 48x -9 + 48x = 60 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 48x = 60 + 0 -9 + 48x = 60 Add '9' to each side of the equation. -9 + 9 + 48x = 60 + 9 Combine like terms: -9 + 9 = 0 0 + 48x = 60 + 9 48x = 60 + 9 Combine like terms: 60 + 9 = 69 48x = 69 Divide each side by '48'. x = 1.4375 Simplifying x = 1.4375
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