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