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Simplifying 10(x + -4) = 5(x + -1) Reorder the terms: 10(-4 + x) = 5(x + -1) (-4 * 10 + x * 10) = 5(x + -1) (-40 + 10x) = 5(x + -1) Reorder the terms: -40 + 10x = 5(-1 + x) -40 + 10x = (-1 * 5 + x * 5) -40 + 10x = (-5 + 5x) Solving -40 + 10x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 10x + -5x = -5 + 5x + -5x Combine like terms: 10x + -5x = 5x -40 + 5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 5x = -5 + 0 -40 + 5x = -5 Add '40' to each side of the equation. -40 + 40 + 5x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -5 + 40 5x = -5 + 40 Combine like terms: -5 + 40 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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