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Simplifying 3x + -2(4.5 + -4x) + 1 = x + -2(1 + -5x) + -6 3x + (4.5 * -2 + -4x * -2) + 1 = x + -2(1 + -5x) + -6 3x + (-9 + 8x) + 1 = x + -2(1 + -5x) + -6 Reorder the terms: -9 + 1 + 3x + 8x = x + -2(1 + -5x) + -6 Combine like terms: -9 + 1 = -8 -8 + 3x + 8x = x + -2(1 + -5x) + -6 Combine like terms: 3x + 8x = 11x -8 + 11x = x + -2(1 + -5x) + -6 -8 + 11x = x + (1 * -2 + -5x * -2) + -6 -8 + 11x = x + (-2 + 10x) + -6 Reorder the terms: -8 + 11x = -2 + -6 + x + 10x Combine like terms: -2 + -6 = -8 -8 + 11x = -8 + x + 10x Combine like terms: x + 10x = 11x -8 + 11x = -8 + 11x Add '8' to each side of the equation. -8 + 8 + 11x = -8 + 8 + 11x Combine like terms: -8 + 8 = 0 0 + 11x = -8 + 8 + 11x 11x = -8 + 8 + 11x Combine like terms: -8 + 8 = 0 11x = 0 + 11x 11x = 11x Add '-11x' to each side of the equation. 11x + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 0 = 11x + -11x Combine like terms: 11x + -11x = 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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