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Simplifying -1(-5 + 3x) + 6(x + -2) = 14 (-5 * -1 + 3x * -1) + 6(x + -2) = 14 (5 + -3x) + 6(x + -2) = 14 Reorder the terms: 5 + -3x + 6(-2 + x) = 14 5 + -3x + (-2 * 6 + x * 6) = 14 5 + -3x + (-12 + 6x) = 14 Reorder the terms: 5 + -12 + -3x + 6x = 14 Combine like terms: 5 + -12 = -7 -7 + -3x + 6x = 14 Combine like terms: -3x + 6x = 3x -7 + 3x = 14 Solving -7 + 3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 14 + 7 3x = 14 + 7 Combine like terms: 14 + 7 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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