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Simplifying 4(4x + 2) = 3x + -4(6 + -1x) + 8 Reorder the terms: 4(2 + 4x) = 3x + -4(6 + -1x) + 8 (2 * 4 + 4x * 4) = 3x + -4(6 + -1x) + 8 (8 + 16x) = 3x + -4(6 + -1x) + 8 8 + 16x = 3x + (6 * -4 + -1x * -4) + 8 8 + 16x = 3x + (-24 + 4x) + 8 Reorder the terms: 8 + 16x = -24 + 8 + 3x + 4x Combine like terms: -24 + 8 = -16 8 + 16x = -16 + 3x + 4x Combine like terms: 3x + 4x = 7x 8 + 16x = -16 + 7x Solving 8 + 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. 8 + 16x + -7x = -16 + 7x + -7x Combine like terms: 16x + -7x = 9x 8 + 9x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 9x = -16 + 0 8 + 9x = -16 Add '-8' to each side of the equation. 8 + -8 + 9x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = -16 + -8 9x = -16 + -8 Combine like terms: -16 + -8 = -24 9x = -24 Divide each side by '9'. x = -2.666666667 Simplifying x = -2.666666667
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