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Simplifying 4(4x + 1) = 6(x + -4) Reorder the terms: 4(1 + 4x) = 6(x + -4) (1 * 4 + 4x * 4) = 6(x + -4) (4 + 16x) = 6(x + -4) Reorder the terms: 4 + 16x = 6(-4 + x) 4 + 16x = (-4 * 6 + x * 6) 4 + 16x = (-24 + 6x) Solving 4 + 16x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 16x + -6x = -24 + 6x + -6x Combine like terms: 16x + -6x = 10x 4 + 10x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 10x = -24 + 0 4 + 10x = -24 Add '-4' to each side of the equation. 4 + -4 + 10x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -24 + -4 10x = -24 + -4 Combine like terms: -24 + -4 = -28 10x = -28 Divide each side by '10'. x = -2.8 Simplifying x = -2.8
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