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Simplifying 1x + -8 = 3(-2x + 9) Reorder the terms: -8 + 1x = 3(-2x + 9) Reorder the terms: -8 + 1x = 3(9 + -2x) -8 + 1x = (9 * 3 + -2x * 3) -8 + 1x = (27 + -6x) Solving -8 + 1x = 27 + -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 + 1x + 6x = 27 + -6x + 6x Combine like terms: 1x + 6x = 7x -8 + 7x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 7x = 27 + 0 -8 + 7x = 27 Add '8' to each side of the equation. -8 + 8 + 7x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 27 + 8 7x = 27 + 8 Combine like terms: 27 + 8 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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