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Simplifying 4(x + 3) + -4 = (0.5x + 1) Reorder the terms: 4(3 + x) + -4 = (0.5x + 1) (3 * 4 + x * 4) + -4 = (0.5x + 1) (12 + 4x) + -4 = (0.5x + 1) Reorder the terms: 12 + -4 + 4x = (0.5x + 1) Combine like terms: 12 + -4 = 8 8 + 4x = (0.5x + 1) Reorder the terms: 8 + 4x = (1 + 0.5x) Remove parenthesis around (1 + 0.5x) 8 + 4x = 1 + 0.5x Solving 8 + 4x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 8 + 4x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x 8 + 3.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + 3.5x = 1 + 0.0 8 + 3.5x = 1 Add '-8' to each side of the equation. 8 + -8 + 3.5x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 3.5x = 1 + -8 3.5x = 1 + -8 Combine like terms: 1 + -8 = -7 3.5x = -7 Divide each side by '3.5'. x = -2 Simplifying x = -2
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