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Simplifying 5x + -8 = 4x + 3(x + 1) Reorder the terms: -8 + 5x = 4x + 3(x + 1) Reorder the terms: -8 + 5x = 4x + 3(1 + x) -8 + 5x = 4x + (1 * 3 + x * 3) -8 + 5x = 4x + (3 + 3x) Reorder the terms: -8 + 5x = 3 + 4x + 3x Combine like terms: 4x + 3x = 7x -8 + 5x = 3 + 7x Solving -8 + 5x = 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 + 5x + -7x = 3 + 7x + -7x Combine like terms: 5x + -7x = -2x -8 + -2x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -2x = 3 + 0 -8 + -2x = 3 Add '8' to each side of the equation. -8 + 8 + -2x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 3 + 8 -2x = 3 + 8 Combine like terms: 3 + 8 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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