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Simplifying 2x + -3(-2x + 11) + -21x + 80 = 8(4 + -1x) + 12x + 304 Reorder the terms: 2x + -3(11 + -2x) + -21x + 80 = 8(4 + -1x) + 12x + 304 2x + (11 * -3 + -2x * -3) + -21x + 80 = 8(4 + -1x) + 12x + 304 2x + (-33 + 6x) + -21x + 80 = 8(4 + -1x) + 12x + 304 Reorder the terms: -33 + 80 + 2x + 6x + -21x = 8(4 + -1x) + 12x + 304 Combine like terms: -33 + 80 = 47 47 + 2x + 6x + -21x = 8(4 + -1x) + 12x + 304 Combine like terms: 2x + 6x = 8x 47 + 8x + -21x = 8(4 + -1x) + 12x + 304 Combine like terms: 8x + -21x = -13x 47 + -13x = 8(4 + -1x) + 12x + 304 47 + -13x = (4 * 8 + -1x * 8) + 12x + 304 47 + -13x = (32 + -8x) + 12x + 304 Reorder the terms: 47 + -13x = 32 + 304 + -8x + 12x Combine like terms: 32 + 304 = 336 47 + -13x = 336 + -8x + 12x Combine like terms: -8x + 12x = 4x 47 + -13x = 336 + 4x Solving 47 + -13x = 336 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 47 + -13x + -4x = 336 + 4x + -4x Combine like terms: -13x + -4x = -17x 47 + -17x = 336 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -17x = 336 + 0 47 + -17x = 336 Add '-47' to each side of the equation. 47 + -47 + -17x = 336 + -47 Combine like terms: 47 + -47 = 0 0 + -17x = 336 + -47 -17x = 336 + -47 Combine like terms: 336 + -47 = 289 -17x = 289 Divide each side by '-17'. x = -17 Simplifying x = -17
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