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Simplifying 4 + -4x = 1 + -1(10x + 5) Reorder the terms: 4 + -4x = 1 + -1(5 + 10x) 4 + -4x = 1 + (5 * -1 + 10x * -1) 4 + -4x = 1 + (-5 + -10x) Combine like terms: 1 + -5 = -4 4 + -4x = -4 + -10x Solving 4 + -4x = -4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 4 + -4x + 10x = -4 + -10x + 10x Combine like terms: -4x + 10x = 6x 4 + 6x = -4 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 6x = -4 + 0 4 + 6x = -4 Add '-4' to each side of the equation. 4 + -4 + 6x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -4 + -4 6x = -4 + -4 Combine like terms: -4 + -4 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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