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Simplifying 7x + 12 + -3 = 0.5(8x + 12) Reorder the terms: 12 + -3 + 7x = 0.5(8x + 12) Combine like terms: 12 + -3 = 9 9 + 7x = 0.5(8x + 12) Reorder the terms: 9 + 7x = 0.5(12 + 8x) 9 + 7x = (12 * 0.5 + 8x * 0.5) 9 + 7x = (6 + 4x) Solving 9 + 7x = 6 + 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. 9 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x 9 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 3x = 6 + 0 9 + 3x = 6 Add '-9' to each side of the equation. 9 + -9 + 3x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 6 + -9 3x = 6 + -9 Combine like terms: 6 + -9 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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