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