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Simplifying 30(13 + -4.5x) = 14(4x + -9) + 76.7 (13 * 30 + -4.5x * 30) = 14(4x + -9) + 76.7 (390 + -135x) = 14(4x + -9) + 76.7 Reorder the terms: 390 + -135x = 14(-9 + 4x) + 76.7 390 + -135x = (-9 * 14 + 4x * 14) + 76.7 390 + -135x = (-126 + 56x) + 76.7 Reorder the terms: 390 + -135x = -126 + 76.7 + 56x Combine like terms: -126 + 76.7 = -49.3 390 + -135x = -49.3 + 56x Solving 390 + -135x = -49.3 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 390 + -135x + -56x = -49.3 + 56x + -56x Combine like terms: -135x + -56x = -191x 390 + -191x = -49.3 + 56x + -56x Combine like terms: 56x + -56x = 0 390 + -191x = -49.3 + 0 390 + -191x = -49.3 Add '-390' to each side of the equation. 390 + -390 + -191x = -49.3 + -390 Combine like terms: 390 + -390 = 0 0 + -191x = -49.3 + -390 -191x = -49.3 + -390 Combine like terms: -49.3 + -390 = -439.3 -191x = -439.3 Divide each side by '-191'. x = 2.3 Simplifying x = 2.3
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