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Simplifying x + 60 + 2x + 40 = 10x + 20 + 3x Reorder the terms: 60 + 40 + x + 2x = 10x + 20 + 3x Combine like terms: 60 + 40 = 100 100 + x + 2x = 10x + 20 + 3x Combine like terms: x + 2x = 3x 100 + 3x = 10x + 20 + 3x Reorder the terms: 100 + 3x = 20 + 10x + 3x Combine like terms: 10x + 3x = 13x 100 + 3x = 20 + 13x Solving 100 + 3x = 20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 100 + 3x + -13x = 20 + 13x + -13x Combine like terms: 3x + -13x = -10x 100 + -10x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 100 + -10x = 20 + 0 100 + -10x = 20 Add '-100' to each side of the equation. 100 + -100 + -10x = 20 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 20 + -100 -10x = 20 + -100 Combine like terms: 20 + -100 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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