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Simplifying 4(x + -5) + 2 = 0.5(x + 6) Reorder the terms: 4(-5 + x) + 2 = 0.5(x + 6) (-5 * 4 + x * 4) + 2 = 0.5(x + 6) (-20 + 4x) + 2 = 0.5(x + 6) Reorder the terms: -20 + 2 + 4x = 0.5(x + 6) Combine like terms: -20 + 2 = -18 -18 + 4x = 0.5(x + 6) Reorder the terms: -18 + 4x = 0.5(6 + x) -18 + 4x = (6 * 0.5 + x * 0.5) -18 + 4x = (3 + 0.5x) Solving -18 + 4x = 3 + 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. -18 + 4x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x -18 + 3.5x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -18 + 3.5x = 3 + 0.0 -18 + 3.5x = 3 Add '18' to each side of the equation. -18 + 18 + 3.5x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3.5x = 3 + 18 3.5x = 3 + 18 Combine like terms: 3 + 18 = 21 3.5x = 21 Divide each side by '3.5'. x = 6 Simplifying x = 6
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