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Simplifying 5(3x + -20) = 10(x + -4) + -1x Reorder the terms: 5(-20 + 3x) = 10(x + -4) + -1x (-20 * 5 + 3x * 5) = 10(x + -4) + -1x (-100 + 15x) = 10(x + -4) + -1x Reorder the terms: -100 + 15x = 10(-4 + x) + -1x -100 + 15x = (-4 * 10 + x * 10) + -1x -100 + 15x = (-40 + 10x) + -1x Combine like terms: 10x + -1x = 9x -100 + 15x = -40 + 9x Solving -100 + 15x = -40 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -100 + 15x + -9x = -40 + 9x + -9x Combine like terms: 15x + -9x = 6x -100 + 6x = -40 + 9x + -9x Combine like terms: 9x + -9x = 0 -100 + 6x = -40 + 0 -100 + 6x = -40 Add '100' to each side of the equation. -100 + 100 + 6x = -40 + 100 Combine like terms: -100 + 100 = 0 0 + 6x = -40 + 100 6x = -40 + 100 Combine like terms: -40 + 100 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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