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Simplifying 4(-3x + 3) + 5 = -5x + 38 Reorder the terms: 4(3 + -3x) + 5 = -5x + 38 (3 * 4 + -3x * 4) + 5 = -5x + 38 (12 + -12x) + 5 = -5x + 38 Reorder the terms: 12 + 5 + -12x = -5x + 38 Combine like terms: 12 + 5 = 17 17 + -12x = -5x + 38 Reorder the terms: 17 + -12x = 38 + -5x Solving 17 + -12x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + -12x + 5x = 38 + -5x + 5x Combine like terms: -12x + 5x = -7x 17 + -7x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + -7x = 38 + 0 17 + -7x = 38 Add '-17' to each side of the equation. 17 + -17 + -7x = 38 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 38 + -17 -7x = 38 + -17 Combine like terms: 38 + -17 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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