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Simplifying 2(x + -3) + 5x = -2x + 12 Reorder the terms: 2(-3 + x) + 5x = -2x + 12 (-3 * 2 + x * 2) + 5x = -2x + 12 (-6 + 2x) + 5x = -2x + 12 Combine like terms: 2x + 5x = 7x -6 + 7x = -2x + 12 Reorder the terms: -6 + 7x = 12 + -2x Solving -6 + 7x = 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. -6 + 7x + 2x = 12 + -2x + 2x Combine like terms: 7x + 2x = 9x -6 + 9x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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