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Simplifying 6x + 3(3x + -20) = 10(x + -40) Reorder the terms: 6x + 3(-20 + 3x) = 10(x + -40) 6x + (-20 * 3 + 3x * 3) = 10(x + -40) 6x + (-60 + 9x) = 10(x + -40) Reorder the terms: -60 + 6x + 9x = 10(x + -40) Combine like terms: 6x + 9x = 15x -60 + 15x = 10(x + -40) Reorder the terms: -60 + 15x = 10(-40 + x) -60 + 15x = (-40 * 10 + x * 10) -60 + 15x = (-400 + 10x) Solving -60 + 15x = -400 + 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. -60 + 15x + -10x = -400 + 10x + -10x Combine like terms: 15x + -10x = 5x -60 + 5x = -400 + 10x + -10x Combine like terms: 10x + -10x = 0 -60 + 5x = -400 + 0 -60 + 5x = -400 Add '60' to each side of the equation. -60 + 60 + 5x = -400 + 60 Combine like terms: -60 + 60 = 0 0 + 5x = -400 + 60 5x = -400 + 60 Combine like terms: -400 + 60 = -340 5x = -340 Divide each side by '5'. x = -68 Simplifying x = -68
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