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Simplifying 2(4 + 3x) = 7(x + 2) (4 * 2 + 3x * 2) = 7(x + 2) (8 + 6x) = 7(x + 2) Reorder the terms: 8 + 6x = 7(2 + x) 8 + 6x = (2 * 7 + x * 7) 8 + 6x = (14 + 7x) Solving 8 + 6x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 6x + -7x = 14 + 7x + -7x Combine like terms: 6x + -7x = -1x 8 + -1x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -1x = 14 + 0 8 + -1x = 14 Add '-8' to each side of the equation. 8 + -8 + -1x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 14 + -8 -1x = 14 + -8 Combine like terms: 14 + -8 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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