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Simplifying 3x + -4(6 + -1x) = 15 + -6x 3x + (6 * -4 + -1x * -4) = 15 + -6x 3x + (-24 + 4x) = 15 + -6x Reorder the terms: -24 + 3x + 4x = 15 + -6x Combine like terms: 3x + 4x = 7x -24 + 7x = 15 + -6x Solving -24 + 7x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 7x + 6x = 15 + -6x + 6x Combine like terms: 7x + 6x = 13x -24 + 13x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 13x = 15 + 0 -24 + 13x = 15 Add '24' to each side of the equation. -24 + 24 + 13x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 15 + 24 13x = 15 + 24 Combine like terms: 15 + 24 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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