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Simplifying 4(3x + -1x) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36 Combine like terms: 3x + -1x = 2x 4(2x) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36 Remove parenthesis around (2x) 4 * 2x + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36 Multiply 4 * 2 8x + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36 Reorder the terms: 8x + -2x + -3(-2 + 4x) + -8 = 4 + -6(x + -5) + -36 8x + -2x + (-2 * -3 + 4x * -3) + -8 = 4 + -6(x + -5) + -36 8x + -2x + (6 + -12x) + -8 = 4 + -6(x + -5) + -36 Reorder the terms: 6 + -8 + 8x + -2x + -12x = 4 + -6(x + -5) + -36 Combine like terms: 6 + -8 = -2 -2 + 8x + -2x + -12x = 4 + -6(x + -5) + -36 Combine like terms: 8x + -2x = 6x -2 + 6x + -12x = 4 + -6(x + -5) + -36 Combine like terms: 6x + -12x = -6x -2 + -6x = 4 + -6(x + -5) + -36 Reorder the terms: -2 + -6x = 4 + -6(-5 + x) + -36 -2 + -6x = 4 + (-5 * -6 + x * -6) + -36 -2 + -6x = 4 + (30 + -6x) + -36 Reorder the terms: -2 + -6x = 4 + 30 + -36 + -6x Combine like terms: 4 + 30 = 34 -2 + -6x = 34 + -36 + -6x Combine like terms: 34 + -36 = -2 -2 + -6x = -2 + -6x Add '2' to each side of the equation. -2 + 2 + -6x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 0 + -6x = -2 + 2 + -6x -6x = -2 + 2 + -6x Combine like terms: -2 + 2 = 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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