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Simplifying (1.4x + 14.32) * 4 = (2.35x + 21.92) * 4 Reorder the terms: (14.32 + 1.4x) * 4 = (2.35x + 21.92) * 4 Reorder the terms for easier multiplication: 4(14.32 + 1.4x) = (2.35x + 21.92) * 4 (14.32 * 4 + 1.4x * 4) = (2.35x + 21.92) * 4 (57.28 + 5.6x) = (2.35x + 21.92) * 4 Reorder the terms: 57.28 + 5.6x = (21.92 + 2.35x) * 4 Reorder the terms for easier multiplication: 57.28 + 5.6x = 4(21.92 + 2.35x) 57.28 + 5.6x = (21.92 * 4 + 2.35x * 4) 57.28 + 5.6x = (87.68 + 9.4x) Solving 57.28 + 5.6x = 87.68 + 9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.4x' to each side of the equation. 57.28 + 5.6x + -9.4x = 87.68 + 9.4x + -9.4x Combine like terms: 5.6x + -9.4x = -3.8x 57.28 + -3.8x = 87.68 + 9.4x + -9.4x Combine like terms: 9.4x + -9.4x = 0.0 57.28 + -3.8x = 87.68 + 0.0 57.28 + -3.8x = 87.68 Add '-57.28' to each side of the equation. 57.28 + -57.28 + -3.8x = 87.68 + -57.28 Combine like terms: 57.28 + -57.28 = 0.00 0.00 + -3.8x = 87.68 + -57.28 -3.8x = 87.68 + -57.28 Combine like terms: 87.68 + -57.28 = 30.4 -3.8x = 30.4 Divide each side by '-3.8'. x = -8 Simplifying x = -8
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