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Simplifying 5(x + -3) + 6 = 2x + 12 Reorder the terms: 5(-3 + x) + 6 = 2x + 12 (-3 * 5 + x * 5) + 6 = 2x + 12 (-15 + 5x) + 6 = 2x + 12 Reorder the terms: -15 + 6 + 5x = 2x + 12 Combine like terms: -15 + 6 = -9 -9 + 5x = 2x + 12 Reorder the terms: -9 + 5x = 12 + 2x Solving -9 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = 12 + 0 -9 + 3x = 12 Add '9' to each side of the equation. -9 + 9 + 3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 12 + 9 3x = 12 + 9 Combine like terms: 12 + 9 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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