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Simplifying 6(2x + 4) * 2 = (2x + 4) + 2 Reorder the terms: 6(4 + 2x) * 2 = (2x + 4) + 2 Reorder the terms for easier multiplication: 6 * 2(4 + 2x) = (2x + 4) + 2 Multiply 6 * 2 12(4 + 2x) = (2x + 4) + 2 (4 * 12 + 2x * 12) = (2x + 4) + 2 (48 + 24x) = (2x + 4) + 2 Reorder the terms: 48 + 24x = (4 + 2x) + 2 Remove parenthesis around (4 + 2x) 48 + 24x = 4 + 2x + 2 Reorder the terms: 48 + 24x = 4 + 2 + 2x Combine like terms: 4 + 2 = 6 48 + 24x = 6 + 2x Solving 48 + 24x = 6 + 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. 48 + 24x + -2x = 6 + 2x + -2x Combine like terms: 24x + -2x = 22x 48 + 22x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 22x = 6 + 0 48 + 22x = 6 Add '-48' to each side of the equation. 48 + -48 + 22x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 22x = 6 + -48 22x = 6 + -48 Combine like terms: 6 + -48 = -42 22x = -42 Divide each side by '22'. x = -1.909090909 Simplifying x = -1.909090909
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