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Simplifying 15x + 3(4x + -6) = 3x + 9 + -9x Reorder the terms: 15x + 3(-6 + 4x) = 3x + 9 + -9x 15x + (-6 * 3 + 4x * 3) = 3x + 9 + -9x 15x + (-18 + 12x) = 3x + 9 + -9x Reorder the terms: -18 + 15x + 12x = 3x + 9 + -9x Combine like terms: 15x + 12x = 27x -18 + 27x = 3x + 9 + -9x Reorder the terms: -18 + 27x = 9 + 3x + -9x Combine like terms: 3x + -9x = -6x -18 + 27x = 9 + -6x Solving -18 + 27x = 9 + -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. -18 + 27x + 6x = 9 + -6x + 6x Combine like terms: 27x + 6x = 33x -18 + 33x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 33x = 9 + 0 -18 + 33x = 9 Add '18' to each side of the equation. -18 + 18 + 33x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 33x = 9 + 18 33x = 9 + 18 Combine like terms: 9 + 18 = 27 33x = 27 Divide each side by '33'. x = 0.8181818182 Simplifying x = 0.8181818182
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