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Simplifying (4x + -5) = (3x + 2) * 4 Reorder the terms: (-5 + 4x) = (3x + 2) * 4 Remove parenthesis around (-5 + 4x) -5 + 4x = (3x + 2) * 4 Reorder the terms: -5 + 4x = (2 + 3x) * 4 Reorder the terms for easier multiplication: -5 + 4x = 4(2 + 3x) -5 + 4x = (2 * 4 + 3x * 4) -5 + 4x = (8 + 12x) Solving -5 + 4x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 4x + -12x = 8 + 12x + -12x Combine like terms: 4x + -12x = -8x -5 + -8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -8x = 8 + 0 -5 + -8x = 8 Add '5' to each side of the equation. -5 + 5 + -8x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 8 + 5 -8x = 8 + 5 Combine like terms: 8 + 5 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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