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Simplifying (5x + 3) + -1(-3x + 8) = 0 Reorder the terms: (3 + 5x) + -1(-3x + 8) = 0 Remove parenthesis around (3 + 5x) 3 + 5x + -1(-3x + 8) = 0 Reorder the terms: 3 + 5x + -1(8 + -3x) = 0 3 + 5x + (8 * -1 + -3x * -1) = 0 3 + 5x + (-8 + 3x) = 0 Reorder the terms: 3 + -8 + 5x + 3x = 0 Combine like terms: 3 + -8 = -5 -5 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -5 + 8x = 0 Solving -5 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 0 + 5 8x = 0 + 5 Combine like terms: 0 + 5 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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