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Simplifying 3x + 5 = 6 + -1(5x + -3) Reorder the terms: 5 + 3x = 6 + -1(5x + -3) Reorder the terms: 5 + 3x = 6 + -1(-3 + 5x) 5 + 3x = 6 + (-3 * -1 + 5x * -1) 5 + 3x = 6 + (3 + -5x) Combine like terms: 6 + 3 = 9 5 + 3x = 9 + -5x Solving 5 + 3x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 3x + 5x = 9 + -5x + 5x Combine like terms: 3x + 5x = 8x 5 + 8x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 8x = 9 + 0 5 + 8x = 9 Add '-5' to each side of the equation. 5 + -5 + 8x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 9 + -5 8x = 9 + -5 Combine like terms: 9 + -5 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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