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Simplifying -3(-2x + 7) + -5 = 7(x + -5) + -1 Reorder the terms: -3(7 + -2x) + -5 = 7(x + -5) + -1 (7 * -3 + -2x * -3) + -5 = 7(x + -5) + -1 (-21 + 6x) + -5 = 7(x + -5) + -1 Reorder the terms: -21 + -5 + 6x = 7(x + -5) + -1 Combine like terms: -21 + -5 = -26 -26 + 6x = 7(x + -5) + -1 Reorder the terms: -26 + 6x = 7(-5 + x) + -1 -26 + 6x = (-5 * 7 + x * 7) + -1 -26 + 6x = (-35 + 7x) + -1 Reorder the terms: -26 + 6x = -35 + -1 + 7x Combine like terms: -35 + -1 = -36 -26 + 6x = -36 + 7x Solving -26 + 6x = -36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -26 + 6x + -7x = -36 + 7x + -7x Combine like terms: 6x + -7x = -1x -26 + -1x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + -1x = -36 + 0 -26 + -1x = -36 Add '26' to each side of the equation. -26 + 26 + -1x = -36 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = -36 + 26 -1x = -36 + 26 Combine like terms: -36 + 26 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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