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Simplifying -5(x + 6) + -1(4x + -6) = -10x Reorder the terms: -5(6 + x) + -1(4x + -6) = -10x (6 * -5 + x * -5) + -1(4x + -6) = -10x (-30 + -5x) + -1(4x + -6) = -10x Reorder the terms: -30 + -5x + -1(-6 + 4x) = -10x -30 + -5x + (-6 * -1 + 4x * -1) = -10x -30 + -5x + (6 + -4x) = -10x Reorder the terms: -30 + 6 + -5x + -4x = -10x Combine like terms: -30 + 6 = -24 -24 + -5x + -4x = -10x Combine like terms: -5x + -4x = -9x -24 + -9x = -10x Solving -24 + -9x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -24 + -9x + 10x = -10x + 10x Combine like terms: -9x + 10x = 1x -24 + 1x = -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 1x = 0 Add '24' to each side of the equation. -24 + 24 + 1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 0 + 24 1x = 0 + 24 Combine like terms: 0 + 24 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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