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Simplifying 8x + 4(4x + -3) = 2(6x + 4) + 4 Reorder the terms: 8x + 4(-3 + 4x) = 2(6x + 4) + 4 8x + (-3 * 4 + 4x * 4) = 2(6x + 4) + 4 8x + (-12 + 16x) = 2(6x + 4) + 4 Reorder the terms: -12 + 8x + 16x = 2(6x + 4) + 4 Combine like terms: 8x + 16x = 24x -12 + 24x = 2(6x + 4) + 4 Reorder the terms: -12 + 24x = 2(4 + 6x) + 4 -12 + 24x = (4 * 2 + 6x * 2) + 4 -12 + 24x = (8 + 12x) + 4 Reorder the terms: -12 + 24x = 8 + 4 + 12x Combine like terms: 8 + 4 = 12 -12 + 24x = 12 + 12x Solving -12 + 24x = 12 + 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. -12 + 24x + -12x = 12 + 12x + -12x Combine like terms: 24x + -12x = 12x -12 + 12x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 12x = 12 + 0 -12 + 12x = 12 Add '12' to each side of the equation. -12 + 12 + 12x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 12 + 12 12x = 12 + 12 Combine like terms: 12 + 12 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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