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Simplifying 6[7 + -4(3 + -1x)] + 4x + -2(6x + -7) = -24 6[7 + (3 * -4 + -1x * -4)] + 4x + -2(6x + -7) = -24 6[7 + (-12 + 4x)] + 4x + -2(6x + -7) = -24 Combine like terms: 7 + -12 = -5 6[-5 + 4x] + 4x + -2(6x + -7) = -24 [-5 * 6 + 4x * 6] + 4x + -2(6x + -7) = -24 [-30 + 24x] + 4x + -2(6x + -7) = -24 Reorder the terms: -30 + 24x + 4x + -2(-7 + 6x) = -24 -30 + 24x + 4x + (-7 * -2 + 6x * -2) = -24 -30 + 24x + 4x + (14 + -12x) = -24 Reorder the terms: -30 + 14 + 24x + 4x + -12x = -24 Combine like terms: -30 + 14 = -16 -16 + 24x + 4x + -12x = -24 Combine like terms: 24x + 4x = 28x -16 + 28x + -12x = -24 Combine like terms: 28x + -12x = 16x -16 + 16x = -24 Solving -16 + 16x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16x = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 16x = -24 + 16 16x = -24 + 16 Combine like terms: -24 + 16 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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