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Simplifying 5x + 3 = 7x + -5(2x + 1) Reorder the terms: 3 + 5x = 7x + -5(2x + 1) Reorder the terms: 3 + 5x = 7x + -5(1 + 2x) 3 + 5x = 7x + (1 * -5 + 2x * -5) 3 + 5x = 7x + (-5 + -10x) Reorder the terms: 3 + 5x = -5 + 7x + -10x Combine like terms: 7x + -10x = -3x 3 + 5x = -5 + -3x Solving 3 + 5x = -5 + -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 = -5 + -3x + 3x Combine like terms: 5x + 3x = 8x 3 + 8x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 8x = -5 + 0 3 + 8x = -5 Add '-3' to each side of the equation. 3 + -3 + 8x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -5 + -3 8x = -5 + -3 Combine like terms: -5 + -3 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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