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Simplifying 34(26 + -5.5x) = 12(5x + -7) + 29.4 (26 * 34 + -5.5x * 34) = 12(5x + -7) + 29.4 (884 + -187x) = 12(5x + -7) + 29.4 Reorder the terms: 884 + -187x = 12(-7 + 5x) + 29.4 884 + -187x = (-7 * 12 + 5x * 12) + 29.4 884 + -187x = (-84 + 60x) + 29.4 Reorder the terms: 884 + -187x = -84 + 29.4 + 60x Combine like terms: -84 + 29.4 = -54.6 884 + -187x = -54.6 + 60x Solving 884 + -187x = -54.6 + 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. 884 + -187x + -60x = -54.6 + 60x + -60x Combine like terms: -187x + -60x = -247x 884 + -247x = -54.6 + 60x + -60x Combine like terms: 60x + -60x = 0 884 + -247x = -54.6 + 0 884 + -247x = -54.6 Add '-884' to each side of the equation. 884 + -884 + -247x = -54.6 + -884 Combine like terms: 884 + -884 = 0 0 + -247x = -54.6 + -884 -247x = -54.6 + -884 Combine like terms: -54.6 + -884 = -938.6 -247x = -938.6 Divide each side by '-247'. x = 3.8 Simplifying x = 3.8
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