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Simplifying 5(2x + -7) = 6 + -1(x + -3) Reorder the terms: 5(-7 + 2x) = 6 + -1(x + -3) (-7 * 5 + 2x * 5) = 6 + -1(x + -3) (-35 + 10x) = 6 + -1(x + -3) Reorder the terms: -35 + 10x = 6 + -1(-3 + x) -35 + 10x = 6 + (-3 * -1 + x * -1) -35 + 10x = 6 + (3 + -1x) Combine like terms: 6 + 3 = 9 -35 + 10x = 9 + -1x Solving -35 + 10x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + 10x + x = 9 + -1x + x Combine like terms: 10x + x = 11x -35 + 11x = 9 + -1x + x Combine like terms: -1x + x = 0 -35 + 11x = 9 + 0 -35 + 11x = 9 Add '35' to each side of the equation. -35 + 35 + 11x = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 9 + 35 11x = 9 + 35 Combine like terms: 9 + 35 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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