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Simplifying 6(x + -2) + -5 = -3(-3x + 1) + -9x Reorder the terms: 6(-2 + x) + -5 = -3(-3x + 1) + -9x (-2 * 6 + x * 6) + -5 = -3(-3x + 1) + -9x (-12 + 6x) + -5 = -3(-3x + 1) + -9x Reorder the terms: -12 + -5 + 6x = -3(-3x + 1) + -9x Combine like terms: -12 + -5 = -17 -17 + 6x = -3(-3x + 1) + -9x Reorder the terms: -17 + 6x = -3(1 + -3x) + -9x -17 + 6x = (1 * -3 + -3x * -3) + -9x -17 + 6x = (-3 + 9x) + -9x Combine like terms: 9x + -9x = 0 -17 + 6x = -3 + 0 -17 + 6x = -3 Solving -17 + 6x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = -3 + 17 6x = -3 + 17 Combine like terms: -3 + 17 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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