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Simplifying 3(1 + -2x) + -4 = 5 + -6(x + 1) (1 * 3 + -2x * 3) + -4 = 5 + -6(x + 1) (3 + -6x) + -4 = 5 + -6(x + 1) Reorder the terms: 3 + -4 + -6x = 5 + -6(x + 1) Combine like terms: 3 + -4 = -1 -1 + -6x = 5 + -6(x + 1) Reorder the terms: -1 + -6x = 5 + -6(1 + x) -1 + -6x = 5 + (1 * -6 + x * -6) -1 + -6x = 5 + (-6 + -6x) Combine like terms: 5 + -6 = -1 -1 + -6x = -1 + -6x Add '1' to each side of the equation. -1 + 1 + -6x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 0 + -6x = -1 + 1 + -6x -6x = -1 + 1 + -6x Combine like terms: -1 + 1 = 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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