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Simplifying 5 + 3x = 2(2x + 6) Reorder the terms: 5 + 3x = 2(6 + 2x) 5 + 3x = (6 * 2 + 2x * 2) 5 + 3x = (12 + 4x) Solving 5 + 3x = 12 + 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. 5 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 12 + 0 5 + -1x = 12 Add '-5' to each side of the equation. 5 + -5 + -1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 12 + -5 -1x = 12 + -5 Combine like terms: 12 + -5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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