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Simplifying 7x + 1 = 12 + -2(2x + -1) + 1 Reorder the terms: 1 + 7x = 12 + -2(2x + -1) + 1 Reorder the terms: 1 + 7x = 12 + -2(-1 + 2x) + 1 1 + 7x = 12 + (-1 * -2 + 2x * -2) + 1 1 + 7x = 12 + (2 + -4x) + 1 Reorder the terms: 1 + 7x = 12 + 2 + 1 + -4x Combine like terms: 12 + 2 = 14 1 + 7x = 14 + 1 + -4x Combine like terms: 14 + 1 = 15 1 + 7x = 15 + -4x Solving 1 + 7x = 15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 7x + 4x = 15 + -4x + 4x Combine like terms: 7x + 4x = 11x 1 + 11x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 11x = 15 + 0 1 + 11x = 15 Add '-1' to each side of the equation. 1 + -1 + 11x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 15 + -1 11x = 15 + -1 Combine like terms: 15 + -1 = 14 11x = 14 Divide each side by '11'. x = 1.272727273 Simplifying x = 1.272727273
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