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Simplifying -4(1 + 4x) = -4(1 + -6x) + -1x (1 * -4 + 4x * -4) = -4(1 + -6x) + -1x (-4 + -16x) = -4(1 + -6x) + -1x -4 + -16x = (1 * -4 + -6x * -4) + -1x -4 + -16x = (-4 + 24x) + -1x Combine like terms: 24x + -1x = 23x -4 + -16x = -4 + 23x Add '4' to each side of the equation. -4 + 4 + -16x = -4 + 4 + 23x Combine like terms: -4 + 4 = 0 0 + -16x = -4 + 4 + 23x -16x = -4 + 4 + 23x Combine like terms: -4 + 4 = 0 -16x = 0 + 23x -16x = 23x Solving -16x = 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -16x + -23x = 23x + -23x Combine like terms: -16x + -23x = -39x -39x = 23x + -23x Combine like terms: 23x + -23x = 0 -39x = 0 Divide each side by '-39'. x = 0 Simplifying x = 0
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