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Simplifying 4(4x + 1) = 3x + -4(6x + -1) + 8 Reorder the terms: 4(1 + 4x) = 3x + -4(6x + -1) + 8 (1 * 4 + 4x * 4) = 3x + -4(6x + -1) + 8 (4 + 16x) = 3x + -4(6x + -1) + 8 Reorder the terms: 4 + 16x = 3x + -4(-1 + 6x) + 8 4 + 16x = 3x + (-1 * -4 + 6x * -4) + 8 4 + 16x = 3x + (4 + -24x) + 8 Reorder the terms: 4 + 16x = 4 + 8 + 3x + -24x Combine like terms: 4 + 8 = 12 4 + 16x = 12 + 3x + -24x Combine like terms: 3x + -24x = -21x 4 + 16x = 12 + -21x Solving 4 + 16x = 12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 4 + 16x + 21x = 12 + -21x + 21x Combine like terms: 16x + 21x = 37x 4 + 37x = 12 + -21x + 21x Combine like terms: -21x + 21x = 0 4 + 37x = 12 + 0 4 + 37x = 12 Add '-4' to each side of the equation. 4 + -4 + 37x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 37x = 12 + -4 37x = 12 + -4 Combine like terms: 12 + -4 = 8 37x = 8 Divide each side by '37'. x = 0.2162162162 Simplifying x = 0.2162162162
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