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Simplifying 10(x + -3) = 5(3x + -8) Reorder the terms: 10(-3 + x) = 5(3x + -8) (-3 * 10 + x * 10) = 5(3x + -8) (-30 + 10x) = 5(3x + -8) Reorder the terms: -30 + 10x = 5(-8 + 3x) -30 + 10x = (-8 * 5 + 3x * 5) -30 + 10x = (-40 + 15x) Solving -30 + 10x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -30 + 10x + -15x = -40 + 15x + -15x Combine like terms: 10x + -15x = -5x -30 + -5x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 -30 + -5x = -40 + 0 -30 + -5x = -40 Add '30' to each side of the equation. -30 + 30 + -5x = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -40 + 30 -5x = -40 + 30 Combine like terms: -40 + 30 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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