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Simplifying 7(x + -5) + 2 = 10 + -1(x + 5) Reorder the terms: 7(-5 + x) + 2 = 10 + -1(x + 5) (-5 * 7 + x * 7) + 2 = 10 + -1(x + 5) (-35 + 7x) + 2 = 10 + -1(x + 5) Reorder the terms: -35 + 2 + 7x = 10 + -1(x + 5) Combine like terms: -35 + 2 = -33 -33 + 7x = 10 + -1(x + 5) Reorder the terms: -33 + 7x = 10 + -1(5 + x) -33 + 7x = 10 + (5 * -1 + x * -1) -33 + 7x = 10 + (-5 + -1x) Combine like terms: 10 + -5 = 5 -33 + 7x = 5 + -1x Solving -33 + 7x = 5 + -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. -33 + 7x + x = 5 + -1x + x Combine like terms: 7x + x = 8x -33 + 8x = 5 + -1x + x Combine like terms: -1x + x = 0 -33 + 8x = 5 + 0 -33 + 8x = 5 Add '33' to each side of the equation. -33 + 33 + 8x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = 5 + 33 8x = 5 + 33 Combine like terms: 5 + 33 = 38 8x = 38 Divide each side by '8'. x = 4.75 Simplifying x = 4.75
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