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Simplifying 3x + -6 = 2(4x + -7) Reorder the terms: -6 + 3x = 2(4x + -7) Reorder the terms: -6 + 3x = 2(-7 + 4x) -6 + 3x = (-7 * 2 + 4x * 2) -6 + 3x = (-14 + 8x) Solving -6 + 3x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 3x + -8x = -14 + 8x + -8x Combine like terms: 3x + -8x = -5x -6 + -5x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -5x = -14 + 0 -6 + -5x = -14 Add '6' to each side of the equation. -6 + 6 + -5x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -14 + 6 -5x = -14 + 6 Combine like terms: -14 + 6 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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