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Simplifying -7(-1x + -9) = 5(-3x + -5) Reorder the terms: -7(-9 + -1x) = 5(-3x + -5) (-9 * -7 + -1x * -7) = 5(-3x + -5) (63 + 7x) = 5(-3x + -5) Reorder the terms: 63 + 7x = 5(-5 + -3x) 63 + 7x = (-5 * 5 + -3x * 5) 63 + 7x = (-25 + -15x) Solving 63 + 7x = -25 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 63 + 7x + 15x = -25 + -15x + 15x Combine like terms: 7x + 15x = 22x 63 + 22x = -25 + -15x + 15x Combine like terms: -15x + 15x = 0 63 + 22x = -25 + 0 63 + 22x = -25 Add '-63' to each side of the equation. 63 + -63 + 22x = -25 + -63 Combine like terms: 63 + -63 = 0 0 + 22x = -25 + -63 22x = -25 + -63 Combine like terms: -25 + -63 = -88 22x = -88 Divide each side by '22'. x = -4 Simplifying x = -4
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