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Simplifying 24 + -6(2x + -4) = 2(3x + 1) Reorder the terms: 24 + -6(-4 + 2x) = 2(3x + 1) 24 + (-4 * -6 + 2x * -6) = 2(3x + 1) 24 + (24 + -12x) = 2(3x + 1) Combine like terms: 24 + 24 = 48 48 + -12x = 2(3x + 1) Reorder the terms: 48 + -12x = 2(1 + 3x) 48 + -12x = (1 * 2 + 3x * 2) 48 + -12x = (2 + 6x) Solving 48 + -12x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + -12x + -6x = 2 + 6x + -6x Combine like terms: -12x + -6x = -18x 48 + -18x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -18x = 2 + 0 48 + -18x = 2 Add '-48' to each side of the equation. 48 + -48 + -18x = 2 + -48 Combine like terms: 48 + -48 = 0 0 + -18x = 2 + -48 -18x = 2 + -48 Combine like terms: 2 + -48 = -46 -18x = -46 Divide each side by '-18'. x = 2.555555556 Simplifying x = 2.555555556
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