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Simplifying 2(x + 4) + -1(x + 1) = x + 7 Reorder the terms: 2(4 + x) + -1(x + 1) = x + 7 (4 * 2 + x * 2) + -1(x + 1) = x + 7 (8 + 2x) + -1(x + 1) = x + 7 Reorder the terms: 8 + 2x + -1(1 + x) = x + 7 8 + 2x + (1 * -1 + x * -1) = x + 7 8 + 2x + (-1 + -1x) = x + 7 Reorder the terms: 8 + -1 + 2x + -1x = x + 7 Combine like terms: 8 + -1 = 7 7 + 2x + -1x = x + 7 Combine like terms: 2x + -1x = 1x 7 + 1x = x + 7 Reorder the terms: 7 + 1x = 7 + x Add '-7' to each side of the equation. 7 + -7 + 1x = 7 + -7 + x Combine like terms: 7 + -7 = 0 0 + 1x = 7 + -7 + x 1x = 7 + -7 + x Combine like terms: 7 + -7 = 0 1x = 0 + x 1x = x Solving 1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1x + -1x = x + -1x Combine like terms: 1x + -1x = 0 0 = x + -1x Combine like terms: x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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