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Simplifying 0.5(8x + 12) + -4 = 16 + -3x Reorder the terms: 0.5(12 + 8x) + -4 = 16 + -3x (12 * 0.5 + 8x * 0.5) + -4 = 16 + -3x (6 + 4x) + -4 = 16 + -3x Reorder the terms: 6 + -4 + 4x = 16 + -3x Combine like terms: 6 + -4 = 2 2 + 4x = 16 + -3x Solving 2 + 4x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 4x + 3x = 16 + -3x + 3x Combine like terms: 4x + 3x = 7x 2 + 7x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 7x = 16 + 0 2 + 7x = 16 Add '-2' to each side of the equation. 2 + -2 + 7x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 16 + -2 7x = 16 + -2 Combine like terms: 16 + -2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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