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Simplifying 4(x + 1) + -2x + -3 = 2(x + -1) + 1 Reorder the terms: 4(1 + x) + -2x + -3 = 2(x + -1) + 1 (1 * 4 + x * 4) + -2x + -3 = 2(x + -1) + 1 (4 + 4x) + -2x + -3 = 2(x + -1) + 1 Reorder the terms: 4 + -3 + 4x + -2x = 2(x + -1) + 1 Combine like terms: 4 + -3 = 1 1 + 4x + -2x = 2(x + -1) + 1 Combine like terms: 4x + -2x = 2x 1 + 2x = 2(x + -1) + 1 Reorder the terms: 1 + 2x = 2(-1 + x) + 1 1 + 2x = (-1 * 2 + x * 2) + 1 1 + 2x = (-2 + 2x) + 1 Reorder the terms: 1 + 2x = -2 + 1 + 2x Combine like terms: -2 + 1 = -1 1 + 2x = -1 + 2x Add '-2x' to each side of the equation. 1 + 2x + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 0 = -1 + 2x + -2x 1 = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 1 = -1 + 0 1 = -1 Solving 1 = -1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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