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Simplifying 3(-5x + 4) + -2 = -3x + 34 Reorder the terms: 3(4 + -5x) + -2 = -3x + 34 (4 * 3 + -5x * 3) + -2 = -3x + 34 (12 + -15x) + -2 = -3x + 34 Reorder the terms: 12 + -2 + -15x = -3x + 34 Combine like terms: 12 + -2 = 10 10 + -15x = -3x + 34 Reorder the terms: 10 + -15x = 34 + -3x Solving 10 + -15x = 34 + -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. 10 + -15x + 3x = 34 + -3x + 3x Combine like terms: -15x + 3x = -12x 10 + -12x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -12x = 34 + 0 10 + -12x = 34 Add '-10' to each side of the equation. 10 + -10 + -12x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 34 + -10 -12x = 34 + -10 Combine like terms: 34 + -10 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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