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Simplifying -6(x + 3) + 4x + 5 = 5x + 12 Reorder the terms: -6(3 + x) + 4x + 5 = 5x + 12 (3 * -6 + x * -6) + 4x + 5 = 5x + 12 (-18 + -6x) + 4x + 5 = 5x + 12 Reorder the terms: -18 + 5 + -6x + 4x = 5x + 12 Combine like terms: -18 + 5 = -13 -13 + -6x + 4x = 5x + 12 Combine like terms: -6x + 4x = -2x -13 + -2x = 5x + 12 Reorder the terms: -13 + -2x = 12 + 5x Solving -13 + -2x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + -2x + -5x = 12 + 5x + -5x Combine like terms: -2x + -5x = -7x -13 + -7x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -7x = 12 + 0 -13 + -7x = 12 Add '13' to each side of the equation. -13 + 13 + -7x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 12 + 13 -7x = 12 + 13 Combine like terms: 12 + 13 = 25 -7x = 25 Divide each side by '-7'. x = -3.571428571 Simplifying x = -3.571428571
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