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Simplifying -5 = -6(x + 7) + -1(-7x + -9) Reorder the terms: -5 = -6(7 + x) + -1(-7x + -9) -5 = (7 * -6 + x * -6) + -1(-7x + -9) -5 = (-42 + -6x) + -1(-7x + -9) Reorder the terms: -5 = -42 + -6x + -1(-9 + -7x) -5 = -42 + -6x + (-9 * -1 + -7x * -1) -5 = -42 + -6x + (9 + 7x) Reorder the terms: -5 = -42 + 9 + -6x + 7x Combine like terms: -42 + 9 = -33 -5 = -33 + -6x + 7x Combine like terms: -6x + 7x = 1x -5 = -33 + 1x Solving -5 = -33 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -1x = -33 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -1x = -33 + 0 -5 + -1x = -33 Add '5' to each side of the equation. -5 + 5 + -1x = -33 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -33 + 5 -1x = -33 + 5 Combine like terms: -33 + 5 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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