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Simplifying 5x + -6 = 7x + 4(3x + 2) Reorder the terms: -6 + 5x = 7x + 4(3x + 2) Reorder the terms: -6 + 5x = 7x + 4(2 + 3x) -6 + 5x = 7x + (2 * 4 + 3x * 4) -6 + 5x = 7x + (8 + 12x) Reorder the terms: -6 + 5x = 8 + 7x + 12x Combine like terms: 7x + 12x = 19x -6 + 5x = 8 + 19x Solving -6 + 5x = 8 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -6 + 5x + -19x = 8 + 19x + -19x Combine like terms: 5x + -19x = -14x -6 + -14x = 8 + 19x + -19x Combine like terms: 19x + -19x = 0 -6 + -14x = 8 + 0 -6 + -14x = 8 Add '6' to each side of the equation. -6 + 6 + -14x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 8 + 6 -14x = 8 + 6 Combine like terms: 8 + 6 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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