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Simplifying -1x + -5(2x + 1) + -2 = 2(-3x + -4) + -5x + 1 Reorder the terms: -1x + -5(1 + 2x) + -2 = 2(-3x + -4) + -5x + 1 -1x + (1 * -5 + 2x * -5) + -2 = 2(-3x + -4) + -5x + 1 -1x + (-5 + -10x) + -2 = 2(-3x + -4) + -5x + 1 Reorder the terms: -5 + -2 + -1x + -10x = 2(-3x + -4) + -5x + 1 Combine like terms: -5 + -2 = -7 -7 + -1x + -10x = 2(-3x + -4) + -5x + 1 Combine like terms: -1x + -10x = -11x -7 + -11x = 2(-3x + -4) + -5x + 1 Reorder the terms: -7 + -11x = 2(-4 + -3x) + -5x + 1 -7 + -11x = (-4 * 2 + -3x * 2) + -5x + 1 -7 + -11x = (-8 + -6x) + -5x + 1 Reorder the terms: -7 + -11x = -8 + 1 + -6x + -5x Combine like terms: -8 + 1 = -7 -7 + -11x = -7 + -6x + -5x Combine like terms: -6x + -5x = -11x -7 + -11x = -7 + -11x Add '7' to each side of the equation. -7 + 7 + -11x = -7 + 7 + -11x Combine like terms: -7 + 7 = 0 0 + -11x = -7 + 7 + -11x -11x = -7 + 7 + -11x Combine like terms: -7 + 7 = 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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