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Simplifying 6(2x + -1) + 5x = 12 + -1x Reorder the terms: 6(-1 + 2x) + 5x = 12 + -1x (-1 * 6 + 2x * 6) + 5x = 12 + -1x (-6 + 12x) + 5x = 12 + -1x Combine like terms: 12x + 5x = 17x -6 + 17x = 12 + -1x Solving -6 + 17x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 17x + x = 12 + -1x + x Combine like terms: 17x + x = 18x -6 + 18x = 12 + -1x + x Combine like terms: -1x + x = 0 -6 + 18x = 12 + 0 -6 + 18x = 12 Add '6' to each side of the equation. -6 + 6 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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