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Simplifying 2(4x + -2) + 4(3 + x) = 7x + 4 Reorder the terms: 2(-2 + 4x) + 4(3 + x) = 7x + 4 (-2 * 2 + 4x * 2) + 4(3 + x) = 7x + 4 (-4 + 8x) + 4(3 + x) = 7x + 4 -4 + 8x + (3 * 4 + x * 4) = 7x + 4 -4 + 8x + (12 + 4x) = 7x + 4 Reorder the terms: -4 + 12 + 8x + 4x = 7x + 4 Combine like terms: -4 + 12 = 8 8 + 8x + 4x = 7x + 4 Combine like terms: 8x + 4x = 12x 8 + 12x = 7x + 4 Reorder the terms: 8 + 12x = 4 + 7x Solving 8 + 12x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 12x + -7x = 4 + 7x + -7x Combine like terms: 12x + -7x = 5x 8 + 5x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 5x = 4 + 0 8 + 5x = 4 Add '-8' to each side of the equation. 8 + -8 + 5x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 4 + -8 5x = 4 + -8 Combine like terms: 4 + -8 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
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