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Simplifying 7x + 1 = 10x + -20 Reorder the terms: 1 + 7x = 10x + -20 Reorder the terms: 1 + 7x = -20 + 10x Solving 1 + 7x = -20 + 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. 1 + 7x + -10x = -20 + 10x + -10x Combine like terms: 7x + -10x = -3x 1 + -3x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -3x = -20 + 0 1 + -3x = -20 Add '-1' to each side of the equation. 1 + -1 + -3x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -20 + -1 -3x = -20 + -1 Combine like terms: -20 + -1 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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