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Simplifying 30(7 + -2.5x) = 14(2x + -8) + 54.2 (7 * 30 + -2.5x * 30) = 14(2x + -8) + 54.2 (210 + -75x) = 14(2x + -8) + 54.2 Reorder the terms: 210 + -75x = 14(-8 + 2x) + 54.2 210 + -75x = (-8 * 14 + 2x * 14) + 54.2 210 + -75x = (-112 + 28x) + 54.2 Reorder the terms: 210 + -75x = -112 + 54.2 + 28x Combine like terms: -112 + 54.2 = -57.8 210 + -75x = -57.8 + 28x Solving 210 + -75x = -57.8 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 210 + -75x + -28x = -57.8 + 28x + -28x Combine like terms: -75x + -28x = -103x 210 + -103x = -57.8 + 28x + -28x Combine like terms: 28x + -28x = 0 210 + -103x = -57.8 + 0 210 + -103x = -57.8 Add '-210' to each side of the equation. 210 + -210 + -103x = -57.8 + -210 Combine like terms: 210 + -210 = 0 0 + -103x = -57.8 + -210 -103x = -57.8 + -210 Combine like terms: -57.8 + -210 = -267.8 -103x = -267.8 Divide each side by '-103'. x = 2.6 Simplifying x = 2.6
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