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Simplifying 0.50(4x + -1) = 4(3 + x) Reorder the terms: 0.50(-1 + 4x) = 4(3 + x) (-1 * 0.50 + 4x * 0.50) = 4(3 + x) (-0.5 + 2x) = 4(3 + x) -0.5 + 2x = (3 * 4 + x * 4) -0.5 + 2x = (12 + 4x) Solving -0.5 + 2x = 12 + 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. -0.5 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x -0.5 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -0.5 + -2x = 12 + 0 -0.5 + -2x = 12 Add '0.5' to each side of the equation. -0.5 + 0.5 + -2x = 12 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -2x = 12 + 0.5 -2x = 12 + 0.5 Combine like terms: 12 + 0.5 = 12.5 -2x = 12.5 Divide each side by '-2'. x = -6.25 Simplifying x = -6.25
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