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Simplifying 3x + -3(5 + -9x) = 6(8x + 2) 3x + (5 * -3 + -9x * -3) = 6(8x + 2) 3x + (-15 + 27x) = 6(8x + 2) Reorder the terms: -15 + 3x + 27x = 6(8x + 2) Combine like terms: 3x + 27x = 30x -15 + 30x = 6(8x + 2) Reorder the terms: -15 + 30x = 6(2 + 8x) -15 + 30x = (2 * 6 + 8x * 6) -15 + 30x = (12 + 48x) Solving -15 + 30x = 12 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -15 + 30x + -48x = 12 + 48x + -48x Combine like terms: 30x + -48x = -18x -15 + -18x = 12 + 48x + -48x Combine like terms: 48x + -48x = 0 -15 + -18x = 12 + 0 -15 + -18x = 12 Add '15' to each side of the equation. -15 + 15 + -18x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -18x = 12 + 15 -18x = 12 + 15 Combine like terms: 12 + 15 = 27 -18x = 27 Divide each side by '-18'. x = -1.5 Simplifying x = -1.5
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