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