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Simplifying 4(x + 6) = -5(x + 1) + 3(4 + -1x) + (12x + 17) Reorder the terms: 4(6 + x) = -5(x + 1) + 3(4 + -1x) + (12x + 17) (6 * 4 + x * 4) = -5(x + 1) + 3(4 + -1x) + (12x + 17) (24 + 4x) = -5(x + 1) + 3(4 + -1x) + (12x + 17) Reorder the terms: 24 + 4x = -5(1 + x) + 3(4 + -1x) + (12x + 17) 24 + 4x = (1 * -5 + x * -5) + 3(4 + -1x) + (12x + 17) 24 + 4x = (-5 + -5x) + 3(4 + -1x) + (12x + 17) 24 + 4x = -5 + -5x + (4 * 3 + -1x * 3) + (12x + 17) 24 + 4x = -5 + -5x + (12 + -3x) + (12x + 17) Reorder the terms: 24 + 4x = -5 + -5x + 12 + -3x + (17 + 12x) Remove parenthesis around (17 + 12x) 24 + 4x = -5 + -5x + 12 + -3x + 17 + 12x Reorder the terms: 24 + 4x = -5 + 12 + 17 + -5x + -3x + 12x Combine like terms: -5 + 12 = 7 24 + 4x = 7 + 17 + -5x + -3x + 12x Combine like terms: 7 + 17 = 24 24 + 4x = 24 + -5x + -3x + 12x Combine like terms: -5x + -3x = -8x 24 + 4x = 24 + -8x + 12x Combine like terms: -8x + 12x = 4x 24 + 4x = 24 + 4x Add '-24' to each side of the equation. 24 + -24 + 4x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 0 + 4x = 24 + -24 + 4x 4x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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