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Simplifying -8(-4x + -6) = -6x + 10 Reorder the terms: -8(-6 + -4x) = -6x + 10 (-6 * -8 + -4x * -8) = -6x + 10 (48 + 32x) = -6x + 10 Reorder the terms: 48 + 32x = 10 + -6x Solving 48 + 32x = 10 + -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. 48 + 32x + 6x = 10 + -6x + 6x Combine like terms: 32x + 6x = 38x 48 + 38x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + 38x = 10 + 0 48 + 38x = 10 Add '-48' to each side of the equation. 48 + -48 + 38x = 10 + -48 Combine like terms: 48 + -48 = 0 0 + 38x = 10 + -48 38x = 10 + -48 Combine like terms: 10 + -48 = -38 38x = -38 Divide each side by '38'. x = -1 Simplifying x = -1
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