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Simplifying 4(4x) + 1 = 3x + -4(6 + -1x) + 8 Remove parenthesis around (4x) 4 * 4x + 1 = 3x + -4(6 + -1x) + 8 Multiply 4 * 4 16x + 1 = 3x + -4(6 + -1x) + 8 Reorder the terms: 1 + 16x = 3x + -4(6 + -1x) + 8 1 + 16x = 3x + (6 * -4 + -1x * -4) + 8 1 + 16x = 3x + (-24 + 4x) + 8 Reorder the terms: 1 + 16x = -24 + 8 + 3x + 4x Combine like terms: -24 + 8 = -16 1 + 16x = -16 + 3x + 4x Combine like terms: 3x + 4x = 7x 1 + 16x = -16 + 7x Solving 1 + 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. 1 + 16x + -7x = -16 + 7x + -7x Combine like terms: 16x + -7x = 9x 1 + 9x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 9x = -16 + 0 1 + 9x = -16 Add '-1' to each side of the equation. 1 + -1 + 9x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = -16 + -1 9x = -16 + -1 Combine like terms: -16 + -1 = -17 9x = -17 Divide each side by '9'. x = -1.888888889 Simplifying x = -1.888888889
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