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Simplifying 5x + 7 + -3(x + 1) = 7x + 8 Reorder the terms: 5x + 7 + -3(1 + x) = 7x + 8 5x + 7 + (1 * -3 + x * -3) = 7x + 8 5x + 7 + (-3 + -3x) = 7x + 8 Reorder the terms: 7 + -3 + 5x + -3x = 7x + 8 Combine like terms: 7 + -3 = 4 4 + 5x + -3x = 7x + 8 Combine like terms: 5x + -3x = 2x 4 + 2x = 7x + 8 Reorder the terms: 4 + 2x = 8 + 7x Solving 4 + 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. 4 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = 8 + 0 4 + -5x = 8 Add '-4' to each side of the equation. 4 + -4 + -5x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 8 + -4 -5x = 8 + -4 Combine like terms: 8 + -4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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