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Simplifying 0.6(4x + 1) = 4(2 + -2x) + 14 Reorder the terms: 0.6(1 + 4x) = 4(2 + -2x) + 14 (1 * 0.6 + 4x * 0.6) = 4(2 + -2x) + 14 (0.6 + 2.4x) = 4(2 + -2x) + 14 0.6 + 2.4x = (2 * 4 + -2x * 4) + 14 0.6 + 2.4x = (8 + -8x) + 14 Reorder the terms: 0.6 + 2.4x = 8 + 14 + -8x Combine like terms: 8 + 14 = 22 0.6 + 2.4x = 22 + -8x Solving 0.6 + 2.4x = 22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 0.6 + 2.4x + 8x = 22 + -8x + 8x Combine like terms: 2.4x + 8x = 10.4x 0.6 + 10.4x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 0.6 + 10.4x = 22 + 0 0.6 + 10.4x = 22 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 10.4x = 22 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 10.4x = 22 + -0.6 10.4x = 22 + -0.6 Combine like terms: 22 + -0.6 = 21.4 10.4x = 21.4 Divide each side by '10.4'. x = 2.057692308 Simplifying x = 2.057692308
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