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Simplifying 8(2x + -3) = -4(3 + x) + -4x Reorder the terms: 8(-3 + 2x) = -4(3 + x) + -4x (-3 * 8 + 2x * 8) = -4(3 + x) + -4x (-24 + 16x) = -4(3 + x) + -4x -24 + 16x = (3 * -4 + x * -4) + -4x -24 + 16x = (-12 + -4x) + -4x Combine like terms: -4x + -4x = -8x -24 + 16x = -12 + -8x Solving -24 + 16x = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 16x + 8x = -12 + -8x + 8x Combine like terms: 16x + 8x = 24x -24 + 24x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 24x = -12 + 0 -24 + 24x = -12 Add '24' to each side of the equation. -24 + 24 + 24x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = -12 + 24 24x = -12 + 24 Combine like terms: -12 + 24 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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