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Simplifying 3(2x + -5) + -1(x + -6) = 14 + -4x Reorder the terms: 3(-5 + 2x) + -1(x + -6) = 14 + -4x (-5 * 3 + 2x * 3) + -1(x + -6) = 14 + -4x (-15 + 6x) + -1(x + -6) = 14 + -4x Reorder the terms: -15 + 6x + -1(-6 + x) = 14 + -4x -15 + 6x + (-6 * -1 + x * -1) = 14 + -4x -15 + 6x + (6 + -1x) = 14 + -4x Reorder the terms: -15 + 6 + 6x + -1x = 14 + -4x Combine like terms: -15 + 6 = -9 -9 + 6x + -1x = 14 + -4x Combine like terms: 6x + -1x = 5x -9 + 5x = 14 + -4x Solving -9 + 5x = 14 + -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. -9 + 5x + 4x = 14 + -4x + 4x Combine like terms: 5x + 4x = 9x -9 + 9x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 9x = 14 + 0 -9 + 9x = 14 Add '9' to each side of the equation. -9 + 9 + 9x = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 14 + 9 9x = 14 + 9 Combine like terms: 14 + 9 = 23 9x = 23 Divide each side by '9'. x = 2.555555556 Simplifying x = 2.555555556
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