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Simplifying 5(x + -8) = 6(x + -10) Reorder the terms: 5(-8 + x) = 6(x + -10) (-8 * 5 + x * 5) = 6(x + -10) (-40 + 5x) = 6(x + -10) Reorder the terms: -40 + 5x = 6(-10 + x) -40 + 5x = (-10 * 6 + x * 6) -40 + 5x = (-60 + 6x) Solving -40 + 5x = -60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + 5x + -6x = -60 + 6x + -6x Combine like terms: 5x + -6x = -1x -40 + -1x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + -1x = -60 + 0 -40 + -1x = -60 Add '40' to each side of the equation. -40 + 40 + -1x = -60 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -60 + 40 -1x = -60 + 40 Combine like terms: -60 + 40 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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