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Simplifying 3(x + 2) + -4(x + -8) = 0 Reorder the terms: 3(2 + x) + -4(x + -8) = 0 (2 * 3 + x * 3) + -4(x + -8) = 0 (6 + 3x) + -4(x + -8) = 0 Reorder the terms: 6 + 3x + -4(-8 + x) = 0 6 + 3x + (-8 * -4 + x * -4) = 0 6 + 3x + (32 + -4x) = 0 Reorder the terms: 6 + 32 + 3x + -4x = 0 Combine like terms: 6 + 32 = 38 38 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 38 + -1x = 0 Solving 38 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 0 + -38 -1x = 0 + -38 Combine like terms: 0 + -38 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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