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Simplifying 3(x + -9) + x + -5 = 6(x + 2) + -2(x + 22) Reorder the terms: 3(-9 + x) + x + -5 = 6(x + 2) + -2(x + 22) (-9 * 3 + x * 3) + x + -5 = 6(x + 2) + -2(x + 22) (-27 + 3x) + x + -5 = 6(x + 2) + -2(x + 22) Reorder the terms: -27 + -5 + 3x + x = 6(x + 2) + -2(x + 22) Combine like terms: -27 + -5 = -32 -32 + 3x + x = 6(x + 2) + -2(x + 22) Combine like terms: 3x + x = 4x -32 + 4x = 6(x + 2) + -2(x + 22) Reorder the terms: -32 + 4x = 6(2 + x) + -2(x + 22) -32 + 4x = (2 * 6 + x * 6) + -2(x + 22) -32 + 4x = (12 + 6x) + -2(x + 22) Reorder the terms: -32 + 4x = 12 + 6x + -2(22 + x) -32 + 4x = 12 + 6x + (22 * -2 + x * -2) -32 + 4x = 12 + 6x + (-44 + -2x) Reorder the terms: -32 + 4x = 12 + -44 + 6x + -2x Combine like terms: 12 + -44 = -32 -32 + 4x = -32 + 6x + -2x Combine like terms: 6x + -2x = 4x -32 + 4x = -32 + 4x Add '32' to each side of the equation. -32 + 32 + 4x = -32 + 32 + 4x Combine like terms: -32 + 32 = 0 0 + 4x = -32 + 32 + 4x 4x = -32 + 32 + 4x Combine like terms: -32 + 32 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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