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Simplifying -0.75(2x + 12) + -4 = 3x + 5 Reorder the terms: -0.75(12 + 2x) + -4 = 3x + 5 (12 * -0.75 + 2x * -0.75) + -4 = 3x + 5 (-9 + -1.5x) + -4 = 3x + 5 Reorder the terms: -9 + -4 + -1.5x = 3x + 5 Combine like terms: -9 + -4 = -13 -13 + -1.5x = 3x + 5 Reorder the terms: -13 + -1.5x = 5 + 3x Solving -13 + -1.5x = 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. -13 + -1.5x + -3x = 5 + 3x + -3x Combine like terms: -1.5x + -3x = -4.5x -13 + -4.5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -4.5x = 5 + 0 -13 + -4.5x = 5 Add '13' to each side of the equation. -13 + 13 + -4.5x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -4.5x = 5 + 13 -4.5x = 5 + 13 Combine like terms: 5 + 13 = 18 -4.5x = 18 Divide each side by '-4.5'. x = -4 Simplifying x = -4
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