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Simplifying 2(x + 4) = 4x + 7 Reorder the terms: 2(4 + x) = 4x + 7 (4 * 2 + x * 2) = 4x + 7 (8 + 2x) = 4x + 7 Reorder the terms: 8 + 2x = 7 + 4x Solving 8 + 2x = 7 + 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 + 2x + -4x = 7 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 7 + 0 8 + -2x = 7 Add '-8' to each side of the equation. 8 + -8 + -2x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 7 + -8 -2x = 7 + -8 Combine like terms: 7 + -8 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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