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Simplifying 10(-5x + 2) = 6(-3x + -2) Reorder the terms: 10(2 + -5x) = 6(-3x + -2) (2 * 10 + -5x * 10) = 6(-3x + -2) (20 + -50x) = 6(-3x + -2) Reorder the terms: 20 + -50x = 6(-2 + -3x) 20 + -50x = (-2 * 6 + -3x * 6) 20 + -50x = (-12 + -18x) Solving 20 + -50x = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 20 + -50x + 18x = -12 + -18x + 18x Combine like terms: -50x + 18x = -32x 20 + -32x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 20 + -32x = -12 + 0 20 + -32x = -12 Add '-20' to each side of the equation. 20 + -20 + -32x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -32x = -12 + -20 -32x = -12 + -20 Combine like terms: -12 + -20 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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