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Simplifying -5(x + 3) + 2x + 7 = 6x + 12 Reorder the terms: -5(3 + x) + 2x + 7 = 6x + 12 (3 * -5 + x * -5) + 2x + 7 = 6x + 12 (-15 + -5x) + 2x + 7 = 6x + 12 Reorder the terms: -15 + 7 + -5x + 2x = 6x + 12 Combine like terms: -15 + 7 = -8 -8 + -5x + 2x = 6x + 12 Combine like terms: -5x + 2x = -3x -8 + -3x = 6x + 12 Reorder the terms: -8 + -3x = 12 + 6x Solving -8 + -3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -3x + -6x = 12 + 6x + -6x Combine like terms: -3x + -6x = -9x -8 + -9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -9x = 12 + 0 -8 + -9x = 12 Add '8' to each side of the equation. -8 + 8 + -9x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 12 + 8 -9x = 12 + 8 Combine like terms: 12 + 8 = 20 -9x = 20 Divide each side by '-9'. x = -2.222222222 Simplifying x = -2.222222222
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