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Simplifying 4(x + 6) = 10 + -1(5 + 6x) Reorder the terms: 4(6 + x) = 10 + -1(5 + 6x) (6 * 4 + x * 4) = 10 + -1(5 + 6x) (24 + 4x) = 10 + -1(5 + 6x) 24 + 4x = 10 + (5 * -1 + 6x * -1) 24 + 4x = 10 + (-5 + -6x) Combine like terms: 10 + -5 = 5 24 + 4x = 5 + -6x Solving 24 + 4x = 5 + -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. 24 + 4x + 6x = 5 + -6x + 6x Combine like terms: 4x + 6x = 10x 24 + 10x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 10x = 5 + 0 24 + 10x = 5 Add '-24' to each side of the equation. 24 + -24 + 10x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 5 + -24 10x = 5 + -24 Combine like terms: 5 + -24 = -19 10x = -19 Divide each side by '10'. x = -1.9 Simplifying x = -1.9
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