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Simplifying 6(x + -7) + -1(-7x + 6) = 5 Reorder the terms: 6(-7 + x) + -1(-7x + 6) = 5 (-7 * 6 + x * 6) + -1(-7x + 6) = 5 (-42 + 6x) + -1(-7x + 6) = 5 Reorder the terms: -42 + 6x + -1(6 + -7x) = 5 -42 + 6x + (6 * -1 + -7x * -1) = 5 -42 + 6x + (-6 + 7x) = 5 Reorder the terms: -42 + -6 + 6x + 7x = 5 Combine like terms: -42 + -6 = -48 -48 + 6x + 7x = 5 Combine like terms: 6x + 7x = 13x -48 + 13x = 5 Solving -48 + 13x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 13x = 5 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 5 + 48 13x = 5 + 48 Combine like terms: 5 + 48 = 53 13x = 53 Divide each side by '13'. x = 4.076923077 Simplifying x = 4.076923077
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