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Simplifying 4x + 5(1 + -2x) = 5 + -6x 4x + (1 * 5 + -2x * 5) = 5 + -6x 4x + (5 + -10x) = 5 + -6x Reorder the terms: 5 + 4x + -10x = 5 + -6x Combine like terms: 4x + -10x = -6x 5 + -6x = 5 + -6x Add '-5' to each side of the equation. 5 + -5 + -6x = 5 + -5 + -6x Combine like terms: 5 + -5 = 0 0 + -6x = 5 + -5 + -6x -6x = 5 + -5 + -6x Combine like terms: 5 + -5 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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