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Simplifying 6(3x + -2) = 5(x + 3) + -14 Reorder the terms: 6(-2 + 3x) = 5(x + 3) + -14 (-2 * 6 + 3x * 6) = 5(x + 3) + -14 (-12 + 18x) = 5(x + 3) + -14 Reorder the terms: -12 + 18x = 5(3 + x) + -14 -12 + 18x = (3 * 5 + x * 5) + -14 -12 + 18x = (15 + 5x) + -14 Reorder the terms: -12 + 18x = 15 + -14 + 5x Combine like terms: 15 + -14 = 1 -12 + 18x = 1 + 5x Solving -12 + 18x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 18x + -5x = 1 + 5x + -5x Combine like terms: 18x + -5x = 13x -12 + 13x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 13x = 1 + 0 -12 + 13x = 1 Add '12' to each side of the equation. -12 + 12 + 13x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 1 + 12 13x = 1 + 12 Combine like terms: 1 + 12 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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