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Simplifying 3(6x + -10) = 2(15x + -9) Reorder the terms: 3(-10 + 6x) = 2(15x + -9) (-10 * 3 + 6x * 3) = 2(15x + -9) (-30 + 18x) = 2(15x + -9) Reorder the terms: -30 + 18x = 2(-9 + 15x) -30 + 18x = (-9 * 2 + 15x * 2) -30 + 18x = (-18 + 30x) Solving -30 + 18x = -18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -30 + 18x + -30x = -18 + 30x + -30x Combine like terms: 18x + -30x = -12x -30 + -12x = -18 + 30x + -30x Combine like terms: 30x + -30x = 0 -30 + -12x = -18 + 0 -30 + -12x = -18 Add '30' to each side of the equation. -30 + 30 + -12x = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = -18 + 30 -12x = -18 + 30 Combine like terms: -18 + 30 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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