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Simplifying 4(3x + 5) + 2x = 6x + -36 Reorder the terms: 4(5 + 3x) + 2x = 6x + -36 (5 * 4 + 3x * 4) + 2x = 6x + -36 (20 + 12x) + 2x = 6x + -36 Combine like terms: 12x + 2x = 14x 20 + 14x = 6x + -36 Reorder the terms: 20 + 14x = -36 + 6x Solving 20 + 14x = -36 + 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. 20 + 14x + -6x = -36 + 6x + -6x Combine like terms: 14x + -6x = 8x 20 + 8x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 8x = -36 + 0 20 + 8x = -36 Add '-20' to each side of the equation. 20 + -20 + 8x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -36 + -20 8x = -36 + -20 Combine like terms: -36 + -20 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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