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Simplifying 4(4x + 2) = 3(x + 4) Reorder the terms: 4(2 + 4x) = 3(x + 4) (2 * 4 + 4x * 4) = 3(x + 4) (8 + 16x) = 3(x + 4) Reorder the terms: 8 + 16x = 3(4 + x) 8 + 16x = (4 * 3 + x * 3) 8 + 16x = (12 + 3x) Solving 8 + 16x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 16x + -3x = 12 + 3x + -3x Combine like terms: 16x + -3x = 13x 8 + 13x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 13x = 12 + 0 8 + 13x = 12 Add '-8' to each side of the equation. 8 + -8 + 13x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 12 + -8 13x = 12 + -8 Combine like terms: 12 + -8 = 4 13x = 4 Divide each side by '13'. x = 0.3076923077 Simplifying x = 0.3076923077
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