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Simplifying 7x + 2 = 7 + -1(x + 20) Reorder the terms: 2 + 7x = 7 + -1(x + 20) Reorder the terms: 2 + 7x = 7 + -1(20 + x) 2 + 7x = 7 + (20 * -1 + x * -1) 2 + 7x = 7 + (-20 + -1x) Combine like terms: 7 + -20 = -13 2 + 7x = -13 + -1x Solving 2 + 7x = -13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 7x + x = -13 + -1x + x Combine like terms: 7x + x = 8x 2 + 8x = -13 + -1x + x Combine like terms: -1x + x = 0 2 + 8x = -13 + 0 2 + 8x = -13 Add '-2' to each side of the equation. 2 + -2 + 8x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -13 + -2 8x = -13 + -2 Combine like terms: -13 + -2 = -15 8x = -15 Divide each side by '8'. x = -1.875 Simplifying x = -1.875
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