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Simplifying 0.5(6x + 2) = 5(x + 3) Reorder the terms: 0.5(2 + 6x) = 5(x + 3) (2 * 0.5 + 6x * 0.5) = 5(x + 3) (1 + 3x) = 5(x + 3) Reorder the terms: 1 + 3x = 5(3 + x) 1 + 3x = (3 * 5 + x * 5) 1 + 3x = (15 + 5x) Solving 1 + 3x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = 15 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = 15 + 0 1 + -2x = 15 Add '-1' to each side of the equation. 1 + -1 + -2x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 15 + -1 -2x = 15 + -1 Combine like terms: 15 + -1 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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