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Simplifying 2(3x + 4) + -5(6x + -7) = 8(9x + -10) + -11(12x + 13) Reorder the terms: 2(4 + 3x) + -5(6x + -7) = 8(9x + -10) + -11(12x + 13) (4 * 2 + 3x * 2) + -5(6x + -7) = 8(9x + -10) + -11(12x + 13) (8 + 6x) + -5(6x + -7) = 8(9x + -10) + -11(12x + 13) Reorder the terms: 8 + 6x + -5(-7 + 6x) = 8(9x + -10) + -11(12x + 13) 8 + 6x + (-7 * -5 + 6x * -5) = 8(9x + -10) + -11(12x + 13) 8 + 6x + (35 + -30x) = 8(9x + -10) + -11(12x + 13) Reorder the terms: 8 + 35 + 6x + -30x = 8(9x + -10) + -11(12x + 13) Combine like terms: 8 + 35 = 43 43 + 6x + -30x = 8(9x + -10) + -11(12x + 13) Combine like terms: 6x + -30x = -24x 43 + -24x = 8(9x + -10) + -11(12x + 13) Reorder the terms: 43 + -24x = 8(-10 + 9x) + -11(12x + 13) 43 + -24x = (-10 * 8 + 9x * 8) + -11(12x + 13) 43 + -24x = (-80 + 72x) + -11(12x + 13) Reorder the terms: 43 + -24x = -80 + 72x + -11(13 + 12x) 43 + -24x = -80 + 72x + (13 * -11 + 12x * -11) 43 + -24x = -80 + 72x + (-143 + -132x) Reorder the terms: 43 + -24x = -80 + -143 + 72x + -132x Combine like terms: -80 + -143 = -223 43 + -24x = -223 + 72x + -132x Combine like terms: 72x + -132x = -60x 43 + -24x = -223 + -60x Solving 43 + -24x = -223 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 43 + -24x + 60x = -223 + -60x + 60x Combine like terms: -24x + 60x = 36x 43 + 36x = -223 + -60x + 60x Combine like terms: -60x + 60x = 0 43 + 36x = -223 + 0 43 + 36x = -223 Add '-43' to each side of the equation. 43 + -43 + 36x = -223 + -43 Combine like terms: 43 + -43 = 0 0 + 36x = -223 + -43 36x = -223 + -43 Combine like terms: -223 + -43 = -266 36x = -266 Divide each side by '36'. x = -7.388888889 Simplifying x = -7.388888889
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