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Simplifying 5x + -2(x + 4) + x = x + 3(x + -3) + 1 Reorder the terms: 5x + -2(4 + x) + x = x + 3(x + -3) + 1 5x + (4 * -2 + x * -2) + x = x + 3(x + -3) + 1 5x + (-8 + -2x) + x = x + 3(x + -3) + 1 Reorder the terms: -8 + 5x + -2x + x = x + 3(x + -3) + 1 Combine like terms: 5x + -2x = 3x -8 + 3x + x = x + 3(x + -3) + 1 Combine like terms: 3x + x = 4x -8 + 4x = x + 3(x + -3) + 1 Reorder the terms: -8 + 4x = x + 3(-3 + x) + 1 -8 + 4x = x + (-3 * 3 + x * 3) + 1 -8 + 4x = x + (-9 + 3x) + 1 Reorder the terms: -8 + 4x = -9 + 1 + x + 3x Combine like terms: -9 + 1 = -8 -8 + 4x = -8 + x + 3x Combine like terms: x + 3x = 4x -8 + 4x = -8 + 4x Add '8' to each side of the equation. -8 + 8 + 4x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 4x = -8 + 8 + 4x 4x = -8 + 8 + 4x Combine like terms: -8 + 8 = 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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