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Simplifying 2(4x + -3) = -3(x + 10) Reorder the terms: 2(-3 + 4x) = -3(x + 10) (-3 * 2 + 4x * 2) = -3(x + 10) (-6 + 8x) = -3(x + 10) Reorder the terms: -6 + 8x = -3(10 + x) -6 + 8x = (10 * -3 + x * -3) -6 + 8x = (-30 + -3x) Solving -6 + 8x = -30 + -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 + 8x + 3x = -30 + -3x + 3x Combine like terms: 8x + 3x = 11x -6 + 11x = -30 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 11x = -30 + 0 -6 + 11x = -30 Add '6' to each side of the equation. -6 + 6 + 11x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = -30 + 6 11x = -30 + 6 Combine like terms: -30 + 6 = -24 11x = -24 Divide each side by '11'. x = -2.181818182 Simplifying x = -2.181818182
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