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Simplifying 32(30 + -6.5x) = 14(6x + -8) * 47.2 (30 * 32 + -6.5x * 32) = 14(6x + -8) * 47.2 (960 + -208x) = 14(6x + -8) * 47.2 Reorder the terms: 960 + -208x = 14(-8 + 6x) * 47.2 Reorder the terms for easier multiplication: 960 + -208x = 14 * 47.2(-8 + 6x) Multiply 14 * 47.2 960 + -208x = 660.8(-8 + 6x) 960 + -208x = (-8 * 660.8 + 6x * 660.8) 960 + -208x = (-5286.4 + 3964.8x) Solving 960 + -208x = -5286.4 + 3964.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3964.8x' to each side of the equation. 960 + -208x + -3964.8x = -5286.4 + 3964.8x + -3964.8x Combine like terms: -208x + -3964.8x = -4172.8x 960 + -4172.8x = -5286.4 + 3964.8x + -3964.8x Combine like terms: 3964.8x + -3964.8x = 0.0 960 + -4172.8x = -5286.4 + 0.0 960 + -4172.8x = -5286.4 Add '-960' to each side of the equation. 960 + -960 + -4172.8x = -5286.4 + -960 Combine like terms: 960 + -960 = 0 0 + -4172.8x = -5286.4 + -960 -4172.8x = -5286.4 + -960 Combine like terms: -5286.4 + -960 = -6246.4 -4172.8x = -6246.4 Divide each side by '-4172.8'. x = 1.496932515 Simplifying x = 1.496932515
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