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Simplifying 3(2x + -6) + 7 = 8 + -9 + -1x Reorder the terms: 3(-6 + 2x) + 7 = 8 + -9 + -1x (-6 * 3 + 2x * 3) + 7 = 8 + -9 + -1x (-18 + 6x) + 7 = 8 + -9 + -1x Reorder the terms: -18 + 7 + 6x = 8 + -9 + -1x Combine like terms: -18 + 7 = -11 -11 + 6x = 8 + -9 + -1x Combine like terms: 8 + -9 = -1 -11 + 6x = -1 + -1x Solving -11 + 6x = -1 + -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. -11 + 6x + x = -1 + -1x + x Combine like terms: 6x + x = 7x -11 + 7x = -1 + -1x + x Combine like terms: -1x + x = 0 -11 + 7x = -1 + 0 -11 + 7x = -1 Add '11' to each side of the equation. -11 + 11 + 7x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = -1 + 11 7x = -1 + 11 Combine like terms: -1 + 11 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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