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Simplifying 7 + 5(x + -6) = 10 + -6(x + -1) Reorder the terms: 7 + 5(-6 + x) = 10 + -6(x + -1) 7 + (-6 * 5 + x * 5) = 10 + -6(x + -1) 7 + (-30 + 5x) = 10 + -6(x + -1) Combine like terms: 7 + -30 = -23 -23 + 5x = 10 + -6(x + -1) Reorder the terms: -23 + 5x = 10 + -6(-1 + x) -23 + 5x = 10 + (-1 * -6 + x * -6) -23 + 5x = 10 + (6 + -6x) Combine like terms: 10 + 6 = 16 -23 + 5x = 16 + -6x Solving -23 + 5x = 16 + -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. -23 + 5x + 6x = 16 + -6x + 6x Combine like terms: 5x + 6x = 11x -23 + 11x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -23 + 11x = 16 + 0 -23 + 11x = 16 Add '23' to each side of the equation. -23 + 23 + 11x = 16 + 23 Combine like terms: -23 + 23 = 0 0 + 11x = 16 + 23 11x = 16 + 23 Combine like terms: 16 + 23 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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