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Simplifying 4(x + -4) = 14 + -6(4x + 1) Reorder the terms: 4(-4 + x) = 14 + -6(4x + 1) (-4 * 4 + x * 4) = 14 + -6(4x + 1) (-16 + 4x) = 14 + -6(4x + 1) Reorder the terms: -16 + 4x = 14 + -6(1 + 4x) -16 + 4x = 14 + (1 * -6 + 4x * -6) -16 + 4x = 14 + (-6 + -24x) Combine like terms: 14 + -6 = 8 -16 + 4x = 8 + -24x Solving -16 + 4x = 8 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -16 + 4x + 24x = 8 + -24x + 24x Combine like terms: 4x + 24x = 28x -16 + 28x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 -16 + 28x = 8 + 0 -16 + 28x = 8 Add '16' to each side of the equation. -16 + 16 + 28x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 28x = 8 + 16 28x = 8 + 16 Combine like terms: 8 + 16 = 24 28x = 24 Divide each side by '28'. x = 0.8571428571 Simplifying x = 0.8571428571
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