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Simplifying 3(5x + -2) + -6x = 2(x + -7) + -8 Reorder the terms: 3(-2 + 5x) + -6x = 2(x + -7) + -8 (-2 * 3 + 5x * 3) + -6x = 2(x + -7) + -8 (-6 + 15x) + -6x = 2(x + -7) + -8 Combine like terms: 15x + -6x = 9x -6 + 9x = 2(x + -7) + -8 Reorder the terms: -6 + 9x = 2(-7 + x) + -8 -6 + 9x = (-7 * 2 + x * 2) + -8 -6 + 9x = (-14 + 2x) + -8 Reorder the terms: -6 + 9x = -14 + -8 + 2x Combine like terms: -14 + -8 = -22 -6 + 9x = -22 + 2x Solving -6 + 9x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 9x + -2x = -22 + 2x + -2x Combine like terms: 9x + -2x = 7x -6 + 7x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 7x = -22 + 0 -6 + 7x = -22 Add '6' to each side of the equation. -6 + 6 + 7x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -22 + 6 7x = -22 + 6 Combine like terms: -22 + 6 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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