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Simplifying 10(x + -4) = 8(x + -5) Reorder the terms: 10(-4 + x) = 8(x + -5) (-4 * 10 + x * 10) = 8(x + -5) (-40 + 10x) = 8(x + -5) Reorder the terms: -40 + 10x = 8(-5 + x) -40 + 10x = (-5 * 8 + x * 8) -40 + 10x = (-40 + 8x) Add '40' to each side of the equation. -40 + 40 + 10x = -40 + 40 + 8x Combine like terms: -40 + 40 = 0 0 + 10x = -40 + 40 + 8x 10x = -40 + 40 + 8x Combine like terms: -40 + 40 = 0 10x = 0 + 8x 10x = 8x Solving 10x = 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. 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x 2x = 8x + -8x Combine like terms: 8x + -8x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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