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Simplifying 4(2x + 3) + -2 = 4x + 20 Reorder the terms: 4(3 + 2x) + -2 = 4x + 20 (3 * 4 + 2x * 4) + -2 = 4x + 20 (12 + 8x) + -2 = 4x + 20 Reorder the terms: 12 + -2 + 8x = 4x + 20 Combine like terms: 12 + -2 = 10 10 + 8x = 4x + 20 Reorder the terms: 10 + 8x = 20 + 4x Solving 10 + 8x = 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. 10 + 8x + -4x = 20 + 4x + -4x Combine like terms: 8x + -4x = 4x 10 + 4x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 4x = 20 + 0 10 + 4x = 20 Add '-10' to each side of the equation. 10 + -10 + 4x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 20 + -10 4x = 20 + -10 Combine like terms: 20 + -10 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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