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Simplifying 1 + -2x = 7(x + 4) Reorder the terms: 1 + -2x = 7(4 + x) 1 + -2x = (4 * 7 + x * 7) 1 + -2x = (28 + 7x) Solving 1 + -2x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + -2x + -7x = 28 + 7x + -7x Combine like terms: -2x + -7x = -9x 1 + -9x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -9x = 28 + 0 1 + -9x = 28 Add '-1' to each side of the equation. 1 + -1 + -9x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 28 + -1 -9x = 28 + -1 Combine like terms: 28 + -1 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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