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Simplifying 5x + -1(x + -4) = -4(x + -6) Reorder the terms: 5x + -1(-4 + x) = -4(x + -6) 5x + (-4 * -1 + x * -1) = -4(x + -6) 5x + (4 + -1x) = -4(x + -6) Reorder the terms: 4 + 5x + -1x = -4(x + -6) Combine like terms: 5x + -1x = 4x 4 + 4x = -4(x + -6) Reorder the terms: 4 + 4x = -4(-6 + x) 4 + 4x = (-6 * -4 + x * -4) 4 + 4x = (24 + -4x) Solving 4 + 4x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 4x + 4x = 24 + -4x + 4x Combine like terms: 4x + 4x = 8x 4 + 8x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 8x = 24 + 0 4 + 8x = 24 Add '-4' to each side of the equation. 4 + -4 + 8x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 24 + -4 8x = 24 + -4 Combine like terms: 24 + -4 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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