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Simplifying 6(3x + -2) + -8 = 4x + -6 Reorder the terms: 6(-2 + 3x) + -8 = 4x + -6 (-2 * 6 + 3x * 6) + -8 = 4x + -6 (-12 + 18x) + -8 = 4x + -6 Reorder the terms: -12 + -8 + 18x = 4x + -6 Combine like terms: -12 + -8 = -20 -20 + 18x = 4x + -6 Reorder the terms: -20 + 18x = -6 + 4x Solving -20 + 18x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 18x + -4x = -6 + 4x + -4x Combine like terms: 18x + -4x = 14x -20 + 14x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 14x = -6 + 0 -20 + 14x = -6 Add '20' to each side of the equation. -20 + 20 + 14x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = -6 + 20 14x = -6 + 20 Combine like terms: -6 + 20 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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