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Simplifying 3(4x + -3) + 35 = 6x + -4 Reorder the terms: 3(-3 + 4x) + 35 = 6x + -4 (-3 * 3 + 4x * 3) + 35 = 6x + -4 (-9 + 12x) + 35 = 6x + -4 Reorder the terms: -9 + 35 + 12x = 6x + -4 Combine like terms: -9 + 35 = 26 26 + 12x = 6x + -4 Reorder the terms: 26 + 12x = -4 + 6x Solving 26 + 12x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 26 + 12x + -6x = -4 + 6x + -6x Combine like terms: 12x + -6x = 6x 26 + 6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + 6x = -4 + 0 26 + 6x = -4 Add '-26' to each side of the equation. 26 + -26 + 6x = -4 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = -4 + -26 6x = -4 + -26 Combine like terms: -4 + -26 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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