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Simplifying 4(2x + 3) + -2x = 4x + 20 Reorder the terms: 4(3 + 2x) + -2x = 4x + 20 (3 * 4 + 2x * 4) + -2x = 4x + 20 (12 + 8x) + -2x = 4x + 20 Combine like terms: 8x + -2x = 6x 12 + 6x = 4x + 20 Reorder the terms: 12 + 6x = 20 + 4x Solving 12 + 6x = 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. 12 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 20 + 0 12 + 2x = 20 Add '-12' to each side of the equation. 12 + -12 + 2x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 20 + -12 2x = 20 + -12 Combine like terms: 20 + -12 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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