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Simplifying 4(x + -3) = -6(5 + 4x) + 24x Reorder the terms: 4(-3 + x) = -6(5 + 4x) + 24x (-3 * 4 + x * 4) = -6(5 + 4x) + 24x (-12 + 4x) = -6(5 + 4x) + 24x -12 + 4x = (5 * -6 + 4x * -6) + 24x -12 + 4x = (-30 + -24x) + 24x Combine like terms: -24x + 24x = 0 -12 + 4x = -30 + 0 -12 + 4x = -30 Solving -12 + 4x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -30 + 12 4x = -30 + 12 Combine like terms: -30 + 12 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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