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Simplifying 3(2x + -2) + -9 = -1x + 34 Reorder the terms: 3(-2 + 2x) + -9 = -1x + 34 (-2 * 3 + 2x * 3) + -9 = -1x + 34 (-6 + 6x) + -9 = -1x + 34 Reorder the terms: -6 + -9 + 6x = -1x + 34 Combine like terms: -6 + -9 = -15 -15 + 6x = -1x + 34 Reorder the terms: -15 + 6x = 34 + -1x Solving -15 + 6x = 34 + -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. -15 + 6x + x = 34 + -1x + x Combine like terms: 6x + x = 7x -15 + 7x = 34 + -1x + x Combine like terms: -1x + x = 0 -15 + 7x = 34 + 0 -15 + 7x = 34 Add '15' to each side of the equation. -15 + 15 + 7x = 34 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 34 + 15 7x = 34 + 15 Combine like terms: 34 + 15 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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