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Simplifying 4(x + 3) + -4 = 8(0.5 + 1) Reorder the terms: 4(3 + x) + -4 = 8(0.5 + 1) (3 * 4 + x * 4) + -4 = 8(0.5 + 1) (12 + 4x) + -4 = 8(0.5 + 1) Reorder the terms: 12 + -4 + 4x = 8(0.5 + 1) Combine like terms: 12 + -4 = 8 8 + 4x = 8(0.5 + 1) Combine like terms: 0.5 + 1 = 1.5 8 + 4x = 8(1.5) Multiply 8 * 1.5 8 + 4x = 12 Solving 8 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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