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Simplifying 3(5x + -3) = 4(1 + -6x) Reorder the terms: 3(-3 + 5x) = 4(1 + -6x) (-3 * 3 + 5x * 3) = 4(1 + -6x) (-9 + 15x) = 4(1 + -6x) -9 + 15x = (1 * 4 + -6x * 4) -9 + 15x = (4 + -24x) Solving -9 + 15x = 4 + -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 + 15x + 24x = 4 + -24x + 24x Combine like terms: 15x + 24x = 39x -9 + 39x = 4 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 39x = 4 + 0 -9 + 39x = 4 Add '9' to each side of the equation. -9 + 9 + 39x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 39x = 4 + 9 39x = 4 + 9 Combine like terms: 4 + 9 = 13 39x = 13 Divide each side by '39'. x = 0.3333333333 Simplifying x = 0.3333333333
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