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Simplifying 6(x + -5) + -10 = 32x + -300 Reorder the terms: 6(-5 + x) + -10 = 32x + -300 (-5 * 6 + x * 6) + -10 = 32x + -300 (-30 + 6x) + -10 = 32x + -300 Reorder the terms: -30 + -10 + 6x = 32x + -300 Combine like terms: -30 + -10 = -40 -40 + 6x = 32x + -300 Reorder the terms: -40 + 6x = -300 + 32x Solving -40 + 6x = -300 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -40 + 6x + -32x = -300 + 32x + -32x Combine like terms: 6x + -32x = -26x -40 + -26x = -300 + 32x + -32x Combine like terms: 32x + -32x = 0 -40 + -26x = -300 + 0 -40 + -26x = -300 Add '40' to each side of the equation. -40 + 40 + -26x = -300 + 40 Combine like terms: -40 + 40 = 0 0 + -26x = -300 + 40 -26x = -300 + 40 Combine like terms: -300 + 40 = -260 -26x = -260 Divide each side by '-26'. x = 10 Simplifying x = 10
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