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Simplifying 5(-1x + 6) = -3(-1x + 2) Reorder the terms: 5(6 + -1x) = -3(-1x + 2) (6 * 5 + -1x * 5) = -3(-1x + 2) (30 + -5x) = -3(-1x + 2) Reorder the terms: 30 + -5x = -3(2 + -1x) 30 + -5x = (2 * -3 + -1x * -3) 30 + -5x = (-6 + 3x) Solving 30 + -5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + -5x + -3x = -6 + 3x + -3x Combine like terms: -5x + -3x = -8x 30 + -8x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -8x = -6 + 0 30 + -8x = -6 Add '-30' to each side of the equation. 30 + -30 + -8x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -6 + -30 -8x = -6 + -30 Combine like terms: -6 + -30 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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