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Simplifying 2[18x + (-5)] + 2 = 24x + (-3)[12x + 8] 2[18x + -5] + 2 = 24x + (-3)[12x + 8] Reorder the terms: 2[-5 + 18x] + 2 = 24x + (-3)[12x + 8] [-5 * 2 + 18x * 2] + 2 = 24x + (-3)[12x + 8] [-10 + 36x] + 2 = 24x + (-3)[12x + 8] Reorder the terms: -10 + 2 + 36x = 24x + (-3)[12x + 8] Combine like terms: -10 + 2 = -8 -8 + 36x = 24x + (-3)[12x + 8] Reorder the terms: -8 + 36x = 24x + -3[8 + 12x] -8 + 36x = 24x + [8 * -3 + 12x * -3] -8 + 36x = 24x + [-24 + -36x] Reorder the terms: -8 + 36x = -24 + 24x + -36x Combine like terms: 24x + -36x = -12x -8 + 36x = -24 + -12x Solving -8 + 36x = -24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 36x + 12x = -24 + -12x + 12x Combine like terms: 36x + 12x = 48x -8 + 48x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 48x = -24 + 0 -8 + 48x = -24 Add '8' to each side of the equation. -8 + 8 + 48x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 48x = -24 + 8 48x = -24 + 8 Combine like terms: -24 + 8 = -16 48x = -16 Divide each side by '48'. x = -0.3333333333 Simplifying x = -0.3333333333
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