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Simplifying 3(x + 7) + -20 = 5x + 7 Reorder the terms: 3(7 + x) + -20 = 5x + 7 (7 * 3 + x * 3) + -20 = 5x + 7 (21 + 3x) + -20 = 5x + 7 Reorder the terms: 21 + -20 + 3x = 5x + 7 Combine like terms: 21 + -20 = 1 1 + 3x = 5x + 7 Reorder the terms: 1 + 3x = 7 + 5x Solving 1 + 3x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = 7 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = 7 + 0 1 + -2x = 7 Add '-1' to each side of the equation. 1 + -1 + -2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 7 + -1 -2x = 7 + -1 Combine like terms: 7 + -1 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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