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Simplifying (x + -10) * 3 = (-5 + x) * 8 Reorder the terms: (-10 + x) * 3 = (-5 + x) * 8 Reorder the terms for easier multiplication: 3(-10 + x) = (-5 + x) * 8 (-10 * 3 + x * 3) = (-5 + x) * 8 (-30 + 3x) = (-5 + x) * 8 Reorder the terms for easier multiplication: -30 + 3x = 8(-5 + x) -30 + 3x = (-5 * 8 + x * 8) -30 + 3x = (-40 + 8x) Solving -30 + 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. -30 + 3x + -8x = -40 + 8x + -8x Combine like terms: 3x + -8x = -5x -30 + -5x = -40 + 8x + -8x Combine like terms: 8x + -8x = 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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