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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 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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