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Simplifying 10(3x + -4) = 5(6 + -1x) Reorder the terms: 10(-4 + 3x) = 5(6 + -1x) (-4 * 10 + 3x * 10) = 5(6 + -1x) (-40 + 30x) = 5(6 + -1x) -40 + 30x = (6 * 5 + -1x * 5) -40 + 30x = (30 + -5x) Solving -40 + 30x = 30 + -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 + 30x + 5x = 30 + -5x + 5x Combine like terms: 30x + 5x = 35x -40 + 35x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + 35x = 30 + 0 -40 + 35x = 30 Add '40' to each side of the equation. -40 + 40 + 35x = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 35x = 30 + 40 35x = 30 + 40 Combine like terms: 30 + 40 = 70 35x = 70 Divide each side by '35'. x = 2 Simplifying x = 2
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