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Simplifying 4(4x + -3) = 2(2x + 1) Reorder the terms: 4(-3 + 4x) = 2(2x + 1) (-3 * 4 + 4x * 4) = 2(2x + 1) (-12 + 16x) = 2(2x + 1) Reorder the terms: -12 + 16x = 2(1 + 2x) -12 + 16x = (1 * 2 + 2x * 2) -12 + 16x = (2 + 4x) Solving -12 + 16x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 16x + -4x = 2 + 4x + -4x Combine like terms: 16x + -4x = 12x -12 + 12x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 12x = 2 + 0 -12 + 12x = 2 Add '12' to each side of the equation. -12 + 12 + 12x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 2 + 12 12x = 2 + 12 Combine like terms: 2 + 12 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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