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Simplifying 6(x + -5) + 3 = 3x + -9 Reorder the terms: 6(-5 + x) + 3 = 3x + -9 (-5 * 6 + x * 6) + 3 = 3x + -9 (-30 + 6x) + 3 = 3x + -9 Reorder the terms: -30 + 3 + 6x = 3x + -9 Combine like terms: -30 + 3 = -27 -27 + 6x = 3x + -9 Reorder the terms: -27 + 6x = -9 + 3x Solving -27 + 6x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x -27 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 3x = -9 + 0 -27 + 3x = -9 Add '27' to each side of the equation. -27 + 27 + 3x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -9 + 27 3x = -9 + 27 Combine like terms: -9 + 27 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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