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Simplifying 34(37 + -6.5x) = 14(6x + -11) + 70 (37 * 34 + -6.5x * 34) = 14(6x + -11) + 70 (1258 + -221x) = 14(6x + -11) + 70 Reorder the terms: 1258 + -221x = 14(-11 + 6x) + 70 1258 + -221x = (-11 * 14 + 6x * 14) + 70 1258 + -221x = (-154 + 84x) + 70 Reorder the terms: 1258 + -221x = -154 + 70 + 84x Combine like terms: -154 + 70 = -84 1258 + -221x = -84 + 84x Solving 1258 + -221x = -84 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 1258 + -221x + -84x = -84 + 84x + -84x Combine like terms: -221x + -84x = -305x 1258 + -305x = -84 + 84x + -84x Combine like terms: 84x + -84x = 0 1258 + -305x = -84 + 0 1258 + -305x = -84 Add '-1258' to each side of the equation. 1258 + -1258 + -305x = -84 + -1258 Combine like terms: 1258 + -1258 = 0 0 + -305x = -84 + -1258 -305x = -84 + -1258 Combine like terms: -84 + -1258 = -1342 -305x = -1342 Divide each side by '-305'. x = 4.4 Simplifying x = 4.4
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