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Simplifying 4(3 + x) * -2 = 2 + -3(x + -4) Reorder the terms for easier multiplication: 4 * -2(3 + x) = 2 + -3(x + -4) Multiply 4 * -2 -8(3 + x) = 2 + -3(x + -4) (3 * -8 + x * -8) = 2 + -3(x + -4) (-24 + -8x) = 2 + -3(x + -4) Reorder the terms: -24 + -8x = 2 + -3(-4 + x) -24 + -8x = 2 + (-4 * -3 + x * -3) -24 + -8x = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 -24 + -8x = 14 + -3x Solving -24 + -8x = 14 + -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. -24 + -8x + 3x = 14 + -3x + 3x Combine like terms: -8x + 3x = -5x -24 + -5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -5x = 14 + 0 -24 + -5x = 14 Add '24' to each side of the equation. -24 + 24 + -5x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 14 + 24 -5x = 14 + 24 Combine like terms: 14 + 24 = 38 -5x = 38 Divide each side by '-5'. x = -7.6 Simplifying x = -7.6
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