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Simplifying 4(x + 5) + -3(x + -8) + -6 = 0 Reorder the terms: 4(5 + x) + -3(x + -8) + -6 = 0 (5 * 4 + x * 4) + -3(x + -8) + -6 = 0 (20 + 4x) + -3(x + -8) + -6 = 0 Reorder the terms: 20 + 4x + -3(-8 + x) + -6 = 0 20 + 4x + (-8 * -3 + x * -3) + -6 = 0 20 + 4x + (24 + -3x) + -6 = 0 Reorder the terms: 20 + 24 + -6 + 4x + -3x = 0 Combine like terms: 20 + 24 = 44 44 + -6 + 4x + -3x = 0 Combine like terms: 44 + -6 = 38 38 + 4x + -3x = 0 Combine like terms: 4x + -3x = 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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