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Simplifying 4(2x + -5) + -4 = 3(x + 1) + 2 Reorder the terms: 4(-5 + 2x) + -4 = 3(x + 1) + 2 (-5 * 4 + 2x * 4) + -4 = 3(x + 1) + 2 (-20 + 8x) + -4 = 3(x + 1) + 2 Reorder the terms: -20 + -4 + 8x = 3(x + 1) + 2 Combine like terms: -20 + -4 = -24 -24 + 8x = 3(x + 1) + 2 Reorder the terms: -24 + 8x = 3(1 + x) + 2 -24 + 8x = (1 * 3 + x * 3) + 2 -24 + 8x = (3 + 3x) + 2 Reorder the terms: -24 + 8x = 3 + 2 + 3x Combine like terms: 3 + 2 = 5 -24 + 8x = 5 + 3x Solving -24 + 8x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 8x + -3x = 5 + 3x + -3x Combine like terms: 8x + -3x = 5x -24 + 5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 5x = 5 + 0 -24 + 5x = 5 Add '24' to each side of the equation. -24 + 24 + 5x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 5 + 24 5x = 5 + 24 Combine like terms: 5 + 24 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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