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Simplifying 0.5(6x + 7) = 2(x + 4) Reorder the terms: 0.5(7 + 6x) = 2(x + 4) (7 * 0.5 + 6x * 0.5) = 2(x + 4) (3.5 + 3x) = 2(x + 4) Reorder the terms: 3.5 + 3x = 2(4 + x) 3.5 + 3x = (4 * 2 + x * 2) 3.5 + 3x = (8 + 2x) Solving 3.5 + 3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3.5 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 3.5 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 3.5 + 1x = 8 + 0 3.5 + 1x = 8 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 1x = 8 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 1x = 8 + -3.5 1x = 8 + -3.5 Combine like terms: 8 + -3.5 = 4.5 1x = 4.5 Divide each side by '1'. x = 4.5 Simplifying x = 4.5
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