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Simplifying 10(1 + -1x) = -6(-1x + 1) (1 * 10 + -1x * 10) = -6(-1x + 1) (10 + -10x) = -6(-1x + 1) Reorder the terms: 10 + -10x = -6(1 + -1x) 10 + -10x = (1 * -6 + -1x * -6) 10 + -10x = (-6 + 6x) Solving 10 + -10x = -6 + 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. 10 + -10x + -6x = -6 + 6x + -6x Combine like terms: -10x + -6x = -16x 10 + -16x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -16x = -6 + 0 10 + -16x = -6 Add '-10' to each side of the equation. 10 + -10 + -16x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = -6 + -10 -16x = -6 + -10 Combine like terms: -6 + -10 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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