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Simplifying (2 + 4x) * 6 = (2x + 4) + -3 Reorder the terms for easier multiplication: 6(2 + 4x) = (2x + 4) + -3 (2 * 6 + 4x * 6) = (2x + 4) + -3 (12 + 24x) = (2x + 4) + -3 Reorder the terms: 12 + 24x = (4 + 2x) + -3 Remove parenthesis around (4 + 2x) 12 + 24x = 4 + 2x + -3 Reorder the terms: 12 + 24x = 4 + -3 + 2x Combine like terms: 4 + -3 = 1 12 + 24x = 1 + 2x Solving 12 + 24x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 24x + -2x = 1 + 2x + -2x Combine like terms: 24x + -2x = 22x 12 + 22x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 22x = 1 + 0 12 + 22x = 1 Add '-12' to each side of the equation. 12 + -12 + 22x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 22x = 1 + -12 22x = 1 + -12 Combine like terms: 1 + -12 = -11 22x = -11 Divide each side by '22'. x = -0.5 Simplifying x = -0.5
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