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Simplifying 1 + 3x = 5 + 2(x + -1) + 7x Reorder the terms: 1 + 3x = 5 + 2(-1 + x) + 7x 1 + 3x = 5 + (-1 * 2 + x * 2) + 7x 1 + 3x = 5 + (-2 + 2x) + 7x Combine like terms: 5 + -2 = 3 1 + 3x = 3 + 2x + 7x Combine like terms: 2x + 7x = 9x 1 + 3x = 3 + 9x Solving 1 + 3x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 3x + -9x = 3 + 9x + -9x Combine like terms: 3x + -9x = -6x 1 + -6x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -6x = 3 + 0 1 + -6x = 3 Add '-1' to each side of the equation. 1 + -1 + -6x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 3 + -1 -6x = 3 + -1 Combine like terms: 3 + -1 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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