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Simplifying 4(x + 2) = 2(3 + -2x) + 14 Reorder the terms: 4(2 + x) = 2(3 + -2x) + 14 (2 * 4 + x * 4) = 2(3 + -2x) + 14 (8 + 4x) = 2(3 + -2x) + 14 8 + 4x = (3 * 2 + -2x * 2) + 14 8 + 4x = (6 + -4x) + 14 Reorder the terms: 8 + 4x = 6 + 14 + -4x Combine like terms: 6 + 14 = 20 8 + 4x = 20 + -4x Solving 8 + 4x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 4x + 4x = 20 + -4x + 4x Combine like terms: 4x + 4x = 8x 8 + 8x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 8x = 20 + 0 8 + 8x = 20 Add '-8' to each side of the equation. 8 + -8 + 8x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 20 + -8 8x = 20 + -8 Combine like terms: 20 + -8 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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