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Simplifying 1.3(5x + -8) = 6(x + 7.6) Reorder the terms: 1.3(-8 + 5x) = 6(x + 7.6) (-8 * 1.3 + 5x * 1.3) = 6(x + 7.6) (-10.4 + 6.5x) = 6(x + 7.6) Reorder the terms: -10.4 + 6.5x = 6(7.6 + x) -10.4 + 6.5x = (7.6 * 6 + x * 6) -10.4 + 6.5x = (45.6 + 6x) Solving -10.4 + 6.5x = 45.6 + 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. -10.4 + 6.5x + -6x = 45.6 + 6x + -6x Combine like terms: 6.5x + -6x = 0.5x -10.4 + 0.5x = 45.6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10.4 + 0.5x = 45.6 + 0 -10.4 + 0.5x = 45.6 Add '10.4' to each side of the equation. -10.4 + 10.4 + 0.5x = 45.6 + 10.4 Combine like terms: -10.4 + 10.4 = 0.0 0.0 + 0.5x = 45.6 + 10.4 0.5x = 45.6 + 10.4 Combine like terms: 45.6 + 10.4 = 56 0.5x = 56 Divide each side by '0.5'. x = 112 Simplifying x = 112
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