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Simplifying 7x + 5 + -3(x + 1) = 8x + 5 Reorder the terms: 7x + 5 + -3(1 + x) = 8x + 5 7x + 5 + (1 * -3 + x * -3) = 8x + 5 7x + 5 + (-3 + -3x) = 8x + 5 Reorder the terms: 5 + -3 + 7x + -3x = 8x + 5 Combine like terms: 5 + -3 = 2 2 + 7x + -3x = 8x + 5 Combine like terms: 7x + -3x = 4x 2 + 4x = 8x + 5 Reorder the terms: 2 + 4x = 5 + 8x Solving 2 + 4x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 4x + -8x = 5 + 8x + -8x Combine like terms: 4x + -8x = -4x 2 + -4x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -4x = 5 + 0 2 + -4x = 5 Add '-2' to each side of the equation. 2 + -2 + -4x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 5 + -2 -4x = 5 + -2 Combine like terms: 5 + -2 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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