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Simplifying 3x + -10 = 2(4x + -20) Reorder the terms: -10 + 3x = 2(4x + -20) Reorder the terms: -10 + 3x = 2(-20 + 4x) -10 + 3x = (-20 * 2 + 4x * 2) -10 + 3x = (-40 + 8x) Solving -10 + 3x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 3x + -8x = -40 + 8x + -8x Combine like terms: 3x + -8x = -5x -10 + -5x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -5x = -40 + 0 -10 + -5x = -40 Add '10' to each side of the equation. -10 + 10 + -5x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -40 + 10 -5x = -40 + 10 Combine like terms: -40 + 10 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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