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Simplifying 5x + -20 = 0.5(12 + 4x + -10) Reorder the terms: -20 + 5x = 0.5(12 + 4x + -10) Reorder the terms: -20 + 5x = 0.5(12 + -10 + 4x) Combine like terms: 12 + -10 = 2 -20 + 5x = 0.5(2 + 4x) -20 + 5x = (2 * 0.5 + 4x * 0.5) -20 + 5x = (1 + 2x) Solving -20 + 5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = 1 + 0 -20 + 3x = 1 Add '20' to each side of the equation. -20 + 20 + 3x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 1 + 20 3x = 1 + 20 Combine like terms: 1 + 20 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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