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Simplifying 5x + 3 = 3 + -1(3x + -3) Reorder the terms: 3 + 5x = 3 + -1(3x + -3) Reorder the terms: 3 + 5x = 3 + -1(-3 + 3x) 3 + 5x = 3 + (-3 * -1 + 3x * -1) 3 + 5x = 3 + (3 + -3x) Combine like terms: 3 + 3 = 6 3 + 5x = 6 + -3x Solving 3 + 5x = 6 + -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 = 6 + -3x + 3x Combine like terms: 5x + 3x = 8x 3 + 8x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 8x = 6 + 0 3 + 8x = 6 Add '-3' to each side of the equation. 3 + -3 + 8x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 6 + -3 8x = 6 + -3 Combine like terms: 6 + -3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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