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Simplifying -10(x + -5) = -8(x + 9) Reorder the terms: -10(-5 + x) = -8(x + 9) (-5 * -10 + x * -10) = -8(x + 9) (50 + -10x) = -8(x + 9) Reorder the terms: 50 + -10x = -8(9 + x) 50 + -10x = (9 * -8 + x * -8) 50 + -10x = (-72 + -8x) Solving 50 + -10x = -72 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 50 + -10x + 8x = -72 + -8x + 8x Combine like terms: -10x + 8x = -2x 50 + -2x = -72 + -8x + 8x Combine like terms: -8x + 8x = 0 50 + -2x = -72 + 0 50 + -2x = -72 Add '-50' to each side of the equation. 50 + -50 + -2x = -72 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = -72 + -50 -2x = -72 + -50 Combine like terms: -72 + -50 = -122 -2x = -122 Divide each side by '-2'. x = 61 Simplifying x = 61
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