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Simplifying 2(6x + -7) + 4 = 10x + -6 + 4x Reorder the terms: 2(-7 + 6x) + 4 = 10x + -6 + 4x (-7 * 2 + 6x * 2) + 4 = 10x + -6 + 4x (-14 + 12x) + 4 = 10x + -6 + 4x Reorder the terms: -14 + 4 + 12x = 10x + -6 + 4x Combine like terms: -14 + 4 = -10 -10 + 12x = 10x + -6 + 4x Reorder the terms: -10 + 12x = -6 + 10x + 4x Combine like terms: 10x + 4x = 14x -10 + 12x = -6 + 14x Solving -10 + 12x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -10 + 12x + -14x = -6 + 14x + -14x Combine like terms: 12x + -14x = -2x -10 + -2x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + -2x = -6 + 0 -10 + -2x = -6 Add '10' to each side of the equation. -10 + 10 + -2x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -6 + 10 -2x = -6 + 10 Combine like terms: -6 + 10 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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