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Simplifying 5x + -2(2 + -3x) = 3(x + -4) + -24 5x + (2 * -2 + -3x * -2) = 3(x + -4) + -24 5x + (-4 + 6x) = 3(x + -4) + -24 Reorder the terms: -4 + 5x + 6x = 3(x + -4) + -24 Combine like terms: 5x + 6x = 11x -4 + 11x = 3(x + -4) + -24 Reorder the terms: -4 + 11x = 3(-4 + x) + -24 -4 + 11x = (-4 * 3 + x * 3) + -24 -4 + 11x = (-12 + 3x) + -24 Reorder the terms: -4 + 11x = -12 + -24 + 3x Combine like terms: -12 + -24 = -36 -4 + 11x = -36 + 3x Solving -4 + 11x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 11x + -3x = -36 + 3x + -3x Combine like terms: 11x + -3x = 8x -4 + 8x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 8x = -36 + 0 -4 + 8x = -36 Add '4' to each side of the equation. -4 + 4 + 8x = -36 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -36 + 4 8x = -36 + 4 Combine like terms: -36 + 4 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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