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Simplifying 4x + -3(2 + -3x) = 3(x + -4) + -24 4x + (2 * -3 + -3x * -3) = 3(x + -4) + -24 4x + (-6 + 9x) = 3(x + -4) + -24 Reorder the terms: -6 + 4x + 9x = 3(x + -4) + -24 Combine like terms: 4x + 9x = 13x -6 + 13x = 3(x + -4) + -24 Reorder the terms: -6 + 13x = 3(-4 + x) + -24 -6 + 13x = (-4 * 3 + x * 3) + -24 -6 + 13x = (-12 + 3x) + -24 Reorder the terms: -6 + 13x = -12 + -24 + 3x Combine like terms: -12 + -24 = -36 -6 + 13x = -36 + 3x Solving -6 + 13x = -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. -6 + 13x + -3x = -36 + 3x + -3x Combine like terms: 13x + -3x = 10x -6 + 10x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 10x = -36 + 0 -6 + 10x = -36 Add '6' to each side of the equation. -6 + 6 + 10x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -36 + 6 10x = -36 + 6 Combine like terms: -36 + 6 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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