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Simplifying 34 + 5x = 3x + -4(4 + -3x) 34 + 5x = 3x + (4 * -4 + -3x * -4) 34 + 5x = 3x + (-16 + 12x) Reorder the terms: 34 + 5x = -16 + 3x + 12x Combine like terms: 3x + 12x = 15x 34 + 5x = -16 + 15x Solving 34 + 5x = -16 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 34 + 5x + -15x = -16 + 15x + -15x Combine like terms: 5x + -15x = -10x 34 + -10x = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 34 + -10x = -16 + 0 34 + -10x = -16 Add '-34' to each side of the equation. 34 + -34 + -10x = -16 + -34 Combine like terms: 34 + -34 = 0 0 + -10x = -16 + -34 -10x = -16 + -34 Combine like terms: -16 + -34 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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