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Simplifying 4(3x + 2) + 6 = 3(2x + -5) + 5 Reorder the terms: 4(2 + 3x) + 6 = 3(2x + -5) + 5 (2 * 4 + 3x * 4) + 6 = 3(2x + -5) + 5 (8 + 12x) + 6 = 3(2x + -5) + 5 Reorder the terms: 8 + 6 + 12x = 3(2x + -5) + 5 Combine like terms: 8 + 6 = 14 14 + 12x = 3(2x + -5) + 5 Reorder the terms: 14 + 12x = 3(-5 + 2x) + 5 14 + 12x = (-5 * 3 + 2x * 3) + 5 14 + 12x = (-15 + 6x) + 5 Reorder the terms: 14 + 12x = -15 + 5 + 6x Combine like terms: -15 + 5 = -10 14 + 12x = -10 + 6x Solving 14 + 12x = -10 + 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. 14 + 12x + -6x = -10 + 6x + -6x Combine like terms: 12x + -6x = 6x 14 + 6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 6x = -10 + 0 14 + 6x = -10 Add '-14' to each side of the equation. 14 + -14 + 6x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = -10 + -14 6x = -10 + -14 Combine like terms: -10 + -14 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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