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Simplifying 4(2x + 3) = 34 + -3x Reorder the terms: 4(3 + 2x) = 34 + -3x (3 * 4 + 2x * 4) = 34 + -3x (12 + 8x) = 34 + -3x Solving 12 + 8x = 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. 12 + 8x + 3x = 34 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 34 + 0 12 + 11x = 34 Add '-12' to each side of the equation. 12 + -12 + 11x = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 34 + -12 11x = 34 + -12 Combine like terms: 34 + -12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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