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Simplifying 1 + -5(5 + -2x) = 4x + -6(3x + -4) 1 + (5 * -5 + -2x * -5) = 4x + -6(3x + -4) 1 + (-25 + 10x) = 4x + -6(3x + -4) Combine like terms: 1 + -25 = -24 -24 + 10x = 4x + -6(3x + -4) Reorder the terms: -24 + 10x = 4x + -6(-4 + 3x) -24 + 10x = 4x + (-4 * -6 + 3x * -6) -24 + 10x = 4x + (24 + -18x) Reorder the terms: -24 + 10x = 24 + 4x + -18x Combine like terms: 4x + -18x = -14x -24 + 10x = 24 + -14x Solving -24 + 10x = 24 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -24 + 10x + 14x = 24 + -14x + 14x Combine like terms: 10x + 14x = 24x -24 + 24x = 24 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + 24x = 24 + 0 -24 + 24x = 24 Add '24' to each side of the equation. -24 + 24 + 24x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 24 + 24 24x = 24 + 24 Combine like terms: 24 + 24 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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