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Simplifying 2x + 0.5(8x + 6) = 2(4x + 3) Reorder the terms: 2x + 0.5(6 + 8x) = 2(4x + 3) 2x + (6 * 0.5 + 8x * 0.5) = 2(4x + 3) 2x + (3 + 4x) = 2(4x + 3) Reorder the terms: 3 + 2x + 4x = 2(4x + 3) Combine like terms: 2x + 4x = 6x 3 + 6x = 2(4x + 3) Reorder the terms: 3 + 6x = 2(3 + 4x) 3 + 6x = (3 * 2 + 4x * 2) 3 + 6x = (6 + 8x) Solving 3 + 6x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x 3 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -2x = 6 + 0 3 + -2x = 6 Add '-3' to each side of the equation. 3 + -3 + -2x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 6 + -3 -2x = 6 + -3 Combine like terms: 6 + -3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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