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Simplifying 4(4x + -3) = 2(3x + 4) Reorder the terms: 4(-3 + 4x) = 2(3x + 4) (-3 * 4 + 4x * 4) = 2(3x + 4) (-12 + 16x) = 2(3x + 4) Reorder the terms: -12 + 16x = 2(4 + 3x) -12 + 16x = (4 * 2 + 3x * 2) -12 + 16x = (8 + 6x) Solving -12 + 16x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 16x + -6x = 8 + 6x + -6x Combine like terms: 16x + -6x = 10x -12 + 10x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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