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Simplifying 3(3x + -10) = 2(6x + 24) Reorder the terms: 3(-10 + 3x) = 2(6x + 24) (-10 * 3 + 3x * 3) = 2(6x + 24) (-30 + 9x) = 2(6x + 24) Reorder the terms: -30 + 9x = 2(24 + 6x) -30 + 9x = (24 * 2 + 6x * 2) -30 + 9x = (48 + 12x) Solving -30 + 9x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -30 + 9x + -12x = 48 + 12x + -12x Combine like terms: 9x + -12x = -3x -30 + -3x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -3x = 48 + 0 -30 + -3x = 48 Add '30' to each side of the equation. -30 + 30 + -3x = 48 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 48 + 30 -3x = 48 + 30 Combine like terms: 48 + 30 = 78 -3x = 78 Divide each side by '-3'. x = -26 Simplifying x = -26
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