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Simplifying -5(x + 10) = -8(x + 1) Reorder the terms: -5(10 + x) = -8(x + 1) (10 * -5 + x * -5) = -8(x + 1) (-50 + -5x) = -8(x + 1) Reorder the terms: -50 + -5x = -8(1 + x) -50 + -5x = (1 * -8 + x * -8) -50 + -5x = (-8 + -8x) Solving -50 + -5x = -8 + -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 + -5x + 8x = -8 + -8x + 8x Combine like terms: -5x + 8x = 3x -50 + 3x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 -50 + 3x = -8 + 0 -50 + 3x = -8 Add '50' to each side of the equation. -50 + 50 + 3x = -8 + 50 Combine like terms: -50 + 50 = 0 0 + 3x = -8 + 50 3x = -8 + 50 Combine like terms: -8 + 50 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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