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Simplifying 4(4x + 3) + -4x = 6x + -2x + 8 Reorder the terms: 4(3 + 4x) + -4x = 6x + -2x + 8 (3 * 4 + 4x * 4) + -4x = 6x + -2x + 8 (12 + 16x) + -4x = 6x + -2x + 8 Combine like terms: 16x + -4x = 12x 12 + 12x = 6x + -2x + 8 Reorder the terms: 12 + 12x = 8 + 6x + -2x Combine like terms: 6x + -2x = 4x 12 + 12x = 8 + 4x Solving 12 + 12x = 8 + 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 + 12x + -4x = 8 + 4x + -4x Combine like terms: 12x + -4x = 8x 12 + 8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 8x = 8 + 0 12 + 8x = 8 Add '-12' to each side of the equation. 12 + -12 + 8x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 8 + -12 8x = 8 + -12 Combine like terms: 8 + -12 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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