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Simplifying 5(3 + -1x) + -27 = 19x + -6(2 + 4x) (3 * 5 + -1x * 5) + -27 = 19x + -6(2 + 4x) (15 + -5x) + -27 = 19x + -6(2 + 4x) Reorder the terms: 15 + -27 + -5x = 19x + -6(2 + 4x) Combine like terms: 15 + -27 = -12 -12 + -5x = 19x + -6(2 + 4x) -12 + -5x = 19x + (2 * -6 + 4x * -6) -12 + -5x = 19x + (-12 + -24x) Reorder the terms: -12 + -5x = -12 + 19x + -24x Combine like terms: 19x + -24x = -5x -12 + -5x = -12 + -5x Add '12' to each side of the equation. -12 + 12 + -5x = -12 + 12 + -5x Combine like terms: -12 + 12 = 0 0 + -5x = -12 + 12 + -5x -5x = -12 + 12 + -5x Combine like terms: -12 + 12 = 0 -5x = 0 + -5x -5x = -5x Add '5x' to each side of the equation. -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 0 = -5x + 5x Combine like terms: -5x + 5x = 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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