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Simplifying 5x + -3 = 0.5(3 + 6x + -1) Reorder the terms: -3 + 5x = 0.5(3 + 6x + -1) Reorder the terms: -3 + 5x = 0.5(3 + -1 + 6x) Combine like terms: 3 + -1 = 2 -3 + 5x = 0.5(2 + 6x) -3 + 5x = (2 * 0.5 + 6x * 0.5) -3 + 5x = (1 + 3x) Solving -3 + 5x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = 1 + 0 -3 + 2x = 1 Add '3' to each side of the equation. -3 + 3 + 2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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