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Simplifying 2x + 7x + -1 = -2(-3 + -1x) Reorder the terms: -1 + 2x + 7x = -2(-3 + -1x) Combine like terms: 2x + 7x = 9x -1 + 9x = -2(-3 + -1x) -1 + 9x = (-3 * -2 + -1x * -2) -1 + 9x = (6 + 2x) Solving -1 + 9x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 9x + -2x = 6 + 2x + -2x Combine like terms: 9x + -2x = 7x -1 + 7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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