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Simplifying -6(x + 5) = 4x + 10 Reorder the terms: -6(5 + x) = 4x + 10 (5 * -6 + x * -6) = 4x + 10 (-30 + -6x) = 4x + 10 Reorder the terms: -30 + -6x = 10 + 4x Solving -30 + -6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + -6x + -4x = 10 + 4x + -4x Combine like terms: -6x + -4x = -10x -30 + -10x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -10x = 10 + 0 -30 + -10x = 10 Add '30' to each side of the equation. -30 + 30 + -10x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = 10 + 30 -10x = 10 + 30 Combine like terms: 10 + 30 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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