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Simplifying 30(49 + -6.5x) = 16(6x + -9) + 71.7 (49 * 30 + -6.5x * 30) = 16(6x + -9) + 71.7 (1470 + -195x) = 16(6x + -9) + 71.7 Reorder the terms: 1470 + -195x = 16(-9 + 6x) + 71.7 1470 + -195x = (-9 * 16 + 6x * 16) + 71.7 1470 + -195x = (-144 + 96x) + 71.7 Reorder the terms: 1470 + -195x = -144 + 71.7 + 96x Combine like terms: -144 + 71.7 = -72.3 1470 + -195x = -72.3 + 96x Solving 1470 + -195x = -72.3 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 1470 + -195x + -96x = -72.3 + 96x + -96x Combine like terms: -195x + -96x = -291x 1470 + -291x = -72.3 + 96x + -96x Combine like terms: 96x + -96x = 0 1470 + -291x = -72.3 + 0 1470 + -291x = -72.3 Add '-1470' to each side of the equation. 1470 + -1470 + -291x = -72.3 + -1470 Combine like terms: 1470 + -1470 = 0 0 + -291x = -72.3 + -1470 -291x = -72.3 + -1470 Combine like terms: -72.3 + -1470 = -1542.3 -291x = -1542.3 Divide each side by '-291'. x = 5.3 Simplifying x = 5.3
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