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Simplifying 6(8 + -2x) = 4(3x + 1) (8 * 6 + -2x * 6) = 4(3x + 1) (48 + -12x) = 4(3x + 1) Reorder the terms: 48 + -12x = 4(1 + 3x) 48 + -12x = (1 * 4 + 3x * 4) 48 + -12x = (4 + 12x) Solving 48 + -12x = 4 + 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. 48 + -12x + -12x = 4 + 12x + -12x Combine like terms: -12x + -12x = -24x 48 + -24x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 48 + -24x = 4 + 0 48 + -24x = 4 Add '-48' to each side of the equation. 48 + -48 + -24x = 4 + -48 Combine like terms: 48 + -48 = 0 0 + -24x = 4 + -48 -24x = 4 + -48 Combine like terms: 4 + -48 = -44 -24x = -44 Divide each side by '-24'. x = 1.833333333 Simplifying x = 1.833333333
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