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Simplifying 8(10 + -1x) + -5(x + 3) = 0 (10 * 8 + -1x * 8) + -5(x + 3) = 0 (80 + -8x) + -5(x + 3) = 0 Reorder the terms: 80 + -8x + -5(3 + x) = 0 80 + -8x + (3 * -5 + x * -5) = 0 80 + -8x + (-15 + -5x) = 0 Reorder the terms: 80 + -15 + -8x + -5x = 0 Combine like terms: 80 + -15 = 65 65 + -8x + -5x = 0 Combine like terms: -8x + -5x = -13x 65 + -13x = 0 Solving 65 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -13x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -13x = 0 + -65 -13x = 0 + -65 Combine like terms: 0 + -65 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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