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Simplifying 5(x + 4) + 8(x + -6) = 0 Reorder the terms: 5(4 + x) + 8(x + -6) = 0 (4 * 5 + x * 5) + 8(x + -6) = 0 (20 + 5x) + 8(x + -6) = 0 Reorder the terms: 20 + 5x + 8(-6 + x) = 0 20 + 5x + (-6 * 8 + x * 8) = 0 20 + 5x + (-48 + 8x) = 0 Reorder the terms: 20 + -48 + 5x + 8x = 0 Combine like terms: 20 + -48 = -28 -28 + 5x + 8x = 0 Combine like terms: 5x + 8x = 13x -28 + 13x = 0 Solving -28 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 13x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 13x = 0 + 28 13x = 0 + 28 Combine like terms: 0 + 28 = 28 13x = 28 Divide each side by '13'. x = 2.153846154 Simplifying x = 2.153846154
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