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Simplifying 4(4x + -2) = 6(2x + 1) Reorder the terms: 4(-2 + 4x) = 6(2x + 1) (-2 * 4 + 4x * 4) = 6(2x + 1) (-8 + 16x) = 6(2x + 1) Reorder the terms: -8 + 16x = 6(1 + 2x) -8 + 16x = (1 * 6 + 2x * 6) -8 + 16x = (6 + 12x) Solving -8 + 16x = 6 + 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. -8 + 16x + -12x = 6 + 12x + -12x Combine like terms: 16x + -12x = 4x -8 + 4x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 4x = 6 + 0 -8 + 4x = 6 Add '8' to each side of the equation. -8 + 8 + 4x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 6 + 8 4x = 6 + 8 Combine like terms: 6 + 8 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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