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Simplifying 5x + -1(4x + 6) = 2(x + -24) Reorder the terms: 5x + -1(6 + 4x) = 2(x + -24) 5x + (6 * -1 + 4x * -1) = 2(x + -24) 5x + (-6 + -4x) = 2(x + -24) Reorder the terms: -6 + 5x + -4x = 2(x + -24) Combine like terms: 5x + -4x = 1x -6 + 1x = 2(x + -24) Reorder the terms: -6 + 1x = 2(-24 + x) -6 + 1x = (-24 * 2 + x * 2) -6 + 1x = (-48 + 2x) Solving -6 + 1x = -48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 1x + -2x = -48 + 2x + -2x Combine like terms: 1x + -2x = -1x -6 + -1x = -48 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = -48 + 0 -6 + -1x = -48 Add '6' to each side of the equation. -6 + 6 + -1x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -48 + 6 -1x = -48 + 6 Combine like terms: -48 + 6 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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