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Simplifying 4(x + -2) + -2 = 2x + 2(-5 + x) Reorder the terms: 4(-2 + x) + -2 = 2x + 2(-5 + x) (-2 * 4 + x * 4) + -2 = 2x + 2(-5 + x) (-8 + 4x) + -2 = 2x + 2(-5 + x) Reorder the terms: -8 + -2 + 4x = 2x + 2(-5 + x) Combine like terms: -8 + -2 = -10 -10 + 4x = 2x + 2(-5 + x) -10 + 4x = 2x + (-5 * 2 + x * 2) -10 + 4x = 2x + (-10 + 2x) Reorder the terms: -10 + 4x = -10 + 2x + 2x Combine like terms: 2x + 2x = 4x -10 + 4x = -10 + 4x Add '10' to each side of the equation. -10 + 10 + 4x = -10 + 10 + 4x Combine like terms: -10 + 10 = 0 0 + 4x = -10 + 10 + 4x 4x = -10 + 10 + 4x Combine like terms: -10 + 10 = 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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