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Simplifying 2(x + 1) + -1(4x + -5) = -2(x + -4) + -1 Reorder the terms: 2(1 + x) + -1(4x + -5) = -2(x + -4) + -1 (1 * 2 + x * 2) + -1(4x + -5) = -2(x + -4) + -1 (2 + 2x) + -1(4x + -5) = -2(x + -4) + -1 Reorder the terms: 2 + 2x + -1(-5 + 4x) = -2(x + -4) + -1 2 + 2x + (-5 * -1 + 4x * -1) = -2(x + -4) + -1 2 + 2x + (5 + -4x) = -2(x + -4) + -1 Reorder the terms: 2 + 5 + 2x + -4x = -2(x + -4) + -1 Combine like terms: 2 + 5 = 7 7 + 2x + -4x = -2(x + -4) + -1 Combine like terms: 2x + -4x = -2x 7 + -2x = -2(x + -4) + -1 Reorder the terms: 7 + -2x = -2(-4 + x) + -1 7 + -2x = (-4 * -2 + x * -2) + -1 7 + -2x = (8 + -2x) + -1 Reorder the terms: 7 + -2x = 8 + -1 + -2x Combine like terms: 8 + -1 = 7 7 + -2x = 7 + -2x Add '-7' to each side of the equation. 7 + -7 + -2x = 7 + -7 + -2x Combine like terms: 7 + -7 = 0 0 + -2x = 7 + -7 + -2x -2x = 7 + -7 + -2x Combine like terms: 7 + -7 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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