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Simplifying 2(15x + -18) = 3(30x + -10) + 8 Reorder the terms: 2(-18 + 15x) = 3(30x + -10) + 8 (-18 * 2 + 15x * 2) = 3(30x + -10) + 8 (-36 + 30x) = 3(30x + -10) + 8 Reorder the terms: -36 + 30x = 3(-10 + 30x) + 8 -36 + 30x = (-10 * 3 + 30x * 3) + 8 -36 + 30x = (-30 + 90x) + 8 Reorder the terms: -36 + 30x = -30 + 8 + 90x Combine like terms: -30 + 8 = -22 -36 + 30x = -22 + 90x Solving -36 + 30x = -22 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. -36 + 30x + -90x = -22 + 90x + -90x Combine like terms: 30x + -90x = -60x -36 + -60x = -22 + 90x + -90x Combine like terms: 90x + -90x = 0 -36 + -60x = -22 + 0 -36 + -60x = -22 Add '36' to each side of the equation. -36 + 36 + -60x = -22 + 36 Combine like terms: -36 + 36 = 0 0 + -60x = -22 + 36 -60x = -22 + 36 Combine like terms: -22 + 36 = 14 -60x = 14 Divide each side by '-60'. x = -0.2333333333 Simplifying x = -0.2333333333
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