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Simplifying 6(3x + 8) = 2(12x) Reorder the terms: 6(8 + 3x) = 2(12x) (8 * 6 + 3x * 6) = 2(12x) (48 + 18x) = 2(12x) Remove parenthesis around (12x) 48 + 18x = 2 * 12x Multiply 2 * 12 48 + 18x = 24x Solving 48 + 18x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 48 + 18x + -24x = 24x + -24x Combine like terms: 18x + -24x = -6x 48 + -6x = 24x + -24x Combine like terms: 24x + -24x = 0 48 + -6x = 0 Add '-48' to each side of the equation. 48 + -48 + -6x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = 0 + -48 -6x = 0 + -48 Combine like terms: 0 + -48 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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