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Simplifying 4(x + 24) + 2(x + 24) = -6 Reorder the terms: 4(24 + x) + 2(x + 24) = -6 (24 * 4 + x * 4) + 2(x + 24) = -6 (96 + 4x) + 2(x + 24) = -6 Reorder the terms: 96 + 4x + 2(24 + x) = -6 96 + 4x + (24 * 2 + x * 2) = -6 96 + 4x + (48 + 2x) = -6 Reorder the terms: 96 + 48 + 4x + 2x = -6 Combine like terms: 96 + 48 = 144 144 + 4x + 2x = -6 Combine like terms: 4x + 2x = 6x 144 + 6x = -6 Solving 144 + 6x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + 6x = -6 + -144 Combine like terms: 144 + -144 = 0 0 + 6x = -6 + -144 6x = -6 + -144 Combine like terms: -6 + -144 = -150 6x = -150 Divide each side by '6'. x = -25 Simplifying x = -25
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