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Simplifying 4[4x + 1] = 3x + -4[6 + -1x] + 8 Reorder the terms: 4[1 + 4x] = 3x + -4[6 + -1x] + 8 [1 * 4 + 4x * 4] = 3x + -4[6 + -1x] + 8 [4 + 16x] = 3x + -4[6 + -1x] + 8 4 + 16x = 3x + [6 * -4 + -1x * -4] + 8 4 + 16x = 3x + [-24 + 4x] + 8 Reorder the terms: 4 + 16x = -24 + 8 + 3x + 4x Combine like terms: -24 + 8 = -16 4 + 16x = -16 + 3x + 4x Combine like terms: 3x + 4x = 7x 4 + 16x = -16 + 7x Solving 4 + 16x = -16 + 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. 4 + 16x + -7x = -16 + 7x + -7x Combine like terms: 16x + -7x = 9x 4 + 9x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 9x = -16 + 0 4 + 9x = -16 Add '-4' to each side of the equation. 4 + -4 + 9x = -16 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -16 + -4 9x = -16 + -4 Combine like terms: -16 + -4 = -20 9x = -20 Divide each side by '9'. x = -2.222222222 Simplifying x = -2.222222222
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