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Simplifying -6(-12x + 8) = -2x + -10(-3 + -8x) Reorder the terms: -6(8 + -12x) = -2x + -10(-3 + -8x) (8 * -6 + -12x * -6) = -2x + -10(-3 + -8x) (-48 + 72x) = -2x + -10(-3 + -8x) -48 + 72x = -2x + (-3 * -10 + -8x * -10) -48 + 72x = -2x + (30 + 80x) Reorder the terms: -48 + 72x = 30 + -2x + 80x Combine like terms: -2x + 80x = 78x -48 + 72x = 30 + 78x Solving -48 + 72x = 30 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. -48 + 72x + -78x = 30 + 78x + -78x Combine like terms: 72x + -78x = -6x -48 + -6x = 30 + 78x + -78x Combine like terms: 78x + -78x = 0 -48 + -6x = 30 + 0 -48 + -6x = 30 Add '48' to each side of the equation. -48 + 48 + -6x = 30 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = 30 + 48 -6x = 30 + 48 Combine like terms: 30 + 48 = 78 -6x = 78 Divide each side by '-6'. x = -13 Simplifying x = -13
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