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Simplifying -0.74(2x + 12) + -4 = 3x + 5 Reorder the terms: -0.74(12 + 2x) + -4 = 3x + 5 (12 * -0.74 + 2x * -0.74) + -4 = 3x + 5 (-8.88 + -1.48x) + -4 = 3x + 5 Reorder the terms: -8.88 + -4 + -1.48x = 3x + 5 Combine like terms: -8.88 + -4 = -12.88 -12.88 + -1.48x = 3x + 5 Reorder the terms: -12.88 + -1.48x = 5 + 3x Solving -12.88 + -1.48x = 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. -12.88 + -1.48x + -3x = 5 + 3x + -3x Combine like terms: -1.48x + -3x = -4.48x -12.88 + -4.48x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -12.88 + -4.48x = 5 + 0 -12.88 + -4.48x = 5 Add '12.88' to each side of the equation. -12.88 + 12.88 + -4.48x = 5 + 12.88 Combine like terms: -12.88 + 12.88 = 0.00 0.00 + -4.48x = 5 + 12.88 -4.48x = 5 + 12.88 Combine like terms: 5 + 12.88 = 17.88 -4.48x = 17.88 Divide each side by '-4.48'. x = -3.991071429 Simplifying x = -3.991071429
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