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Simplifying 30(52 + -5.5x) = 16(5x + -6) + 39.0 (52 * 30 + -5.5x * 30) = 16(5x + -6) + 39.0 (1560 + -165x) = 16(5x + -6) + 39.0 Reorder the terms: 1560 + -165x = 16(-6 + 5x) + 39.0 1560 + -165x = (-6 * 16 + 5x * 16) + 39.0 1560 + -165x = (-96 + 80x) + 39.0 Reorder the terms: 1560 + -165x = -96 + 39.0 + 80x Combine like terms: -96 + 39.0 = -57 1560 + -165x = -57 + 80x Solving 1560 + -165x = -57 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 1560 + -165x + -80x = -57 + 80x + -80x Combine like terms: -165x + -80x = -245x 1560 + -245x = -57 + 80x + -80x Combine like terms: 80x + -80x = 0 1560 + -245x = -57 + 0 1560 + -245x = -57 Add '-1560' to each side of the equation. 1560 + -1560 + -245x = -57 + -1560 Combine like terms: 1560 + -1560 = 0 0 + -245x = -57 + -1560 -245x = -57 + -1560 Combine like terms: -57 + -1560 = -1617 -245x = -1617 Divide each side by '-245'. x = 6.6 Simplifying x = 6.6
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