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Simplifying (x + 3) * 2 + -1(x + -1) * 2 = 7x Reorder the terms: (3 + x) * 2 + -1(x + -1) * 2 = 7x Reorder the terms for easier multiplication: 2(3 + x) + -1(x + -1) * 2 = 7x (3 * 2 + x * 2) + -1(x + -1) * 2 = 7x (6 + 2x) + -1(x + -1) * 2 = 7x Reorder the terms: 6 + 2x + -1(-1 + x) * 2 = 7x Reorder the terms for easier multiplication: 6 + 2x + -1 * 2(-1 + x) = 7x Multiply -1 * 2 6 + 2x + -2(-1 + x) = 7x 6 + 2x + (-1 * -2 + x * -2) = 7x 6 + 2x + (2 + -2x) = 7x Reorder the terms: 6 + 2 + 2x + -2x = 7x Combine like terms: 6 + 2 = 8 8 + 2x + -2x = 7x Combine like terms: 2x + -2x = 0 8 + 0 = 7x 8 = 7x Solving 8 = 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. 8 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 8 + -7x = 0 Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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