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Simplifying -2(22x + -6) + -65 = 5x + -7(x + -1) Reorder the terms: -2(-6 + 22x) + -65 = 5x + -7(x + -1) (-6 * -2 + 22x * -2) + -65 = 5x + -7(x + -1) (12 + -44x) + -65 = 5x + -7(x + -1) Reorder the terms: 12 + -65 + -44x = 5x + -7(x + -1) Combine like terms: 12 + -65 = -53 -53 + -44x = 5x + -7(x + -1) Reorder the terms: -53 + -44x = 5x + -7(-1 + x) -53 + -44x = 5x + (-1 * -7 + x * -7) -53 + -44x = 5x + (7 + -7x) Reorder the terms: -53 + -44x = 7 + 5x + -7x Combine like terms: 5x + -7x = -2x -53 + -44x = 7 + -2x Solving -53 + -44x = 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. -53 + -44x + 2x = 7 + -2x + 2x Combine like terms: -44x + 2x = -42x -53 + -42x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -53 + -42x = 7 + 0 -53 + -42x = 7 Add '53' to each side of the equation. -53 + 53 + -42x = 7 + 53 Combine like terms: -53 + 53 = 0 0 + -42x = 7 + 53 -42x = 7 + 53 Combine like terms: 7 + 53 = 60 -42x = 60 Divide each side by '-42'. x = -1.428571429 Simplifying x = -1.428571429
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