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Simplifying 4(3x + 6) = 3(x + -10) Reorder the terms: 4(6 + 3x) = 3(x + -10) (6 * 4 + 3x * 4) = 3(x + -10) (24 + 12x) = 3(x + -10) Reorder the terms: 24 + 12x = 3(-10 + x) 24 + 12x = (-10 * 3 + x * 3) 24 + 12x = (-30 + 3x) Solving 24 + 12x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 12x + -3x = -30 + 3x + -3x Combine like terms: 12x + -3x = 9x 24 + 9x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 9x = -30 + 0 24 + 9x = -30 Add '-24' to each side of the equation. 24 + -24 + 9x = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -30 + -24 9x = -30 + -24 Combine like terms: -30 + -24 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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