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Simplifying 5x + 8 + -3(x + 1) = 7x + 8 Reorder the terms: 5x + 8 + -3(1 + x) = 7x + 8 5x + 8 + (1 * -3 + x * -3) = 7x + 8 5x + 8 + (-3 + -3x) = 7x + 8 Reorder the terms: 8 + -3 + 5x + -3x = 7x + 8 Combine like terms: 8 + -3 = 5 5 + 5x + -3x = 7x + 8 Combine like terms: 5x + -3x = 2x 5 + 2x = 7x + 8 Reorder the terms: 5 + 2x = 8 + 7x Solving 5 + 2x = 8 + 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. 5 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x 5 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -5x = 8 + 0 5 + -5x = 8 Add '-5' to each side of the equation. 5 + -5 + -5x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 8 + -5 -5x = 8 + -5 Combine like terms: 8 + -5 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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