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Simplifying 3x + 8 + -5(x + 1) = 5x + 7 Reorder the terms: 3x + 8 + -5(1 + x) = 5x + 7 3x + 8 + (1 * -5 + x * -5) = 5x + 7 3x + 8 + (-5 + -5x) = 5x + 7 Reorder the terms: 8 + -5 + 3x + -5x = 5x + 7 Combine like terms: 8 + -5 = 3 3 + 3x + -5x = 5x + 7 Combine like terms: 3x + -5x = -2x 3 + -2x = 5x + 7 Reorder the terms: 3 + -2x = 7 + 5x Solving 3 + -2x = 7 + 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. 3 + -2x + -5x = 7 + 5x + -5x Combine like terms: -2x + -5x = -7x 3 + -7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -7x = 7 + 0 3 + -7x = 7 Add '-3' to each side of the equation. 3 + -3 + -7x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 7 + -3 -7x = 7 + -3 Combine like terms: 7 + -3 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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