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Simplifying 100 + -3x = 10x + 22 Reorder the terms: 100 + -3x = 22 + 10x Solving 100 + -3x = 22 + 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. 100 + -3x + -10x = 22 + 10x + -10x Combine like terms: -3x + -10x = -13x 100 + -13x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -13x = 22 + 0 100 + -13x = 22 Add '-100' to each side of the equation. 100 + -100 + -13x = 22 + -100 Combine like terms: 100 + -100 = 0 0 + -13x = 22 + -100 -13x = 22 + -100 Combine like terms: 22 + -100 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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