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Simplifying 6(x + -5) = 1(7 + -2x) Reorder the terms: 6(-5 + x) = 1(7 + -2x) (-5 * 6 + x * 6) = 1(7 + -2x) (-30 + 6x) = 1(7 + -2x) -30 + 6x = (7 * 1 + -2x * 1) -30 + 6x = (7 + -2x) Solving -30 + 6x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 6x + 2x = 7 + -2x + 2x Combine like terms: 6x + 2x = 8x -30 + 8x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 8x = 7 + 0 -30 + 8x = 7 Add '30' to each side of the equation. -30 + 30 + 8x = 7 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 7 + 30 8x = 7 + 30 Combine like terms: 7 + 30 = 37 8x = 37 Divide each side by '8'. x = 4.625 Simplifying x = 4.625
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