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Simplifying 5x + -1(3x + 8) = 7x + -3 Reorder the terms: 5x + -1(8 + 3x) = 7x + -3 5x + (8 * -1 + 3x * -1) = 7x + -3 5x + (-8 + -3x) = 7x + -3 Reorder the terms: -8 + 5x + -3x = 7x + -3 Combine like terms: 5x + -3x = 2x -8 + 2x = 7x + -3 Reorder the terms: -8 + 2x = -3 + 7x Solving -8 + 2x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 2x + -7x = -3 + 7x + -7x Combine like terms: 2x + -7x = -5x -8 + -5x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -5x = -3 + 0 -8 + -5x = -3 Add '8' to each side of the equation. -8 + 8 + -5x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -3 + 8 -5x = -3 + 8 Combine like terms: -3 + 8 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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