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Simplifying -2x + 6(3x + -5) = -8 + -6x Reorder the terms: -2x + 6(-5 + 3x) = -8 + -6x -2x + (-5 * 6 + 3x * 6) = -8 + -6x -2x + (-30 + 18x) = -8 + -6x Reorder the terms: -30 + -2x + 18x = -8 + -6x Combine like terms: -2x + 18x = 16x -30 + 16x = -8 + -6x Solving -30 + 16x = -8 + -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. -30 + 16x + 6x = -8 + -6x + 6x Combine like terms: 16x + 6x = 22x -30 + 22x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 22x = -8 + 0 -30 + 22x = -8 Add '30' to each side of the equation. -30 + 30 + 22x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 22x = -8 + 30 22x = -8 + 30 Combine like terms: -8 + 30 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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