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Simplifying -2(-3 + -4x) = 4(x + 4 + 1) + 3x (-3 * -2 + -4x * -2) = 4(x + 4 + 1) + 3x (6 + 8x) = 4(x + 4 + 1) + 3x Reorder the terms: 6 + 8x = 4(4 + 1 + x) + 3x Combine like terms: 4 + 1 = 5 6 + 8x = 4(5 + x) + 3x 6 + 8x = (5 * 4 + x * 4) + 3x 6 + 8x = (20 + 4x) + 3x Combine like terms: 4x + 3x = 7x 6 + 8x = 20 + 7x Solving 6 + 8x = 20 + 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. 6 + 8x + -7x = 20 + 7x + -7x Combine like terms: 8x + -7x = 1x 6 + 1x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 1x = 20 + 0 6 + 1x = 20 Add '-6' to each side of the equation. 6 + -6 + 1x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 20 + -6 1x = 20 + -6 Combine like terms: 20 + -6 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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