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Simplifying 0.5(7x + 48) = -1(0.5x + -50) + 9(x + 64) Reorder the terms: 0.5(48 + 7x) = -1(0.5x + -50) + 9(x + 64) (48 * 0.5 + 7x * 0.5) = -1(0.5x + -50) + 9(x + 64) (24 + 3.5x) = -1(0.5x + -50) + 9(x + 64) Reorder the terms: 24 + 3.5x = -1(-50 + 0.5x) + 9(x + 64) 24 + 3.5x = (-50 * -1 + 0.5x * -1) + 9(x + 64) 24 + 3.5x = (50 + -0.5x) + 9(x + 64) Reorder the terms: 24 + 3.5x = 50 + -0.5x + 9(64 + x) 24 + 3.5x = 50 + -0.5x + (64 * 9 + x * 9) 24 + 3.5x = 50 + -0.5x + (576 + 9x) Reorder the terms: 24 + 3.5x = 50 + 576 + -0.5x + 9x Combine like terms: 50 + 576 = 626 24 + 3.5x = 626 + -0.5x + 9x Combine like terms: -0.5x + 9x = 8.5x 24 + 3.5x = 626 + 8.5x Solving 24 + 3.5x = 626 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. 24 + 3.5x + -8.5x = 626 + 8.5x + -8.5x Combine like terms: 3.5x + -8.5x = -5x 24 + -5x = 626 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 24 + -5x = 626 + 0.0 24 + -5x = 626 Add '-24' to each side of the equation. 24 + -24 + -5x = 626 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 626 + -24 -5x = 626 + -24 Combine like terms: 626 + -24 = 602 -5x = 602 Divide each side by '-5'. x = -120.4 Simplifying x = -120.4
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