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Simplifying 32(34 + -6.5x) = 16(6x + -6) + 28.8 (34 * 32 + -6.5x * 32) = 16(6x + -6) + 28.8 (1088 + -208x) = 16(6x + -6) + 28.8 Reorder the terms: 1088 + -208x = 16(-6 + 6x) + 28.8 1088 + -208x = (-6 * 16 + 6x * 16) + 28.8 1088 + -208x = (-96 + 96x) + 28.8 Reorder the terms: 1088 + -208x = -96 + 28.8 + 96x Combine like terms: -96 + 28.8 = -67.2 1088 + -208x = -67.2 + 96x Solving 1088 + -208x = -67.2 + 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. 1088 + -208x + -96x = -67.2 + 96x + -96x Combine like terms: -208x + -96x = -304x 1088 + -304x = -67.2 + 96x + -96x Combine like terms: 96x + -96x = 0 1088 + -304x = -67.2 + 0 1088 + -304x = -67.2 Add '-1088' to each side of the equation. 1088 + -1088 + -304x = -67.2 + -1088 Combine like terms: 1088 + -1088 = 0 0 + -304x = -67.2 + -1088 -304x = -67.2 + -1088 Combine like terms: -67.2 + -1088 = -1155.2 -304x = -1155.2 Divide each side by '-304'. x = 3.8 Simplifying x = 3.8
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