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Simplifying 0.5(7x + 48) = -1(0.5x + -3) + 4(x + 5) Reorder the terms: 0.5(48 + 7x) = -1(0.5x + -3) + 4(x + 5) (48 * 0.5 + 7x * 0.5) = -1(0.5x + -3) + 4(x + 5) (24 + 3.5x) = -1(0.5x + -3) + 4(x + 5) Reorder the terms: 24 + 3.5x = -1(-3 + 0.5x) + 4(x + 5) 24 + 3.5x = (-3 * -1 + 0.5x * -1) + 4(x + 5) 24 + 3.5x = (3 + -0.5x) + 4(x + 5) Reorder the terms: 24 + 3.5x = 3 + -0.5x + 4(5 + x) 24 + 3.5x = 3 + -0.5x + (5 * 4 + x * 4) 24 + 3.5x = 3 + -0.5x + (20 + 4x) Reorder the terms: 24 + 3.5x = 3 + 20 + -0.5x + 4x Combine like terms: 3 + 20 = 23 24 + 3.5x = 23 + -0.5x + 4x Combine like terms: -0.5x + 4x = 3.5x 24 + 3.5x = 23 + 3.5x Add '-3.5x' to each side of the equation. 24 + 3.5x + -3.5x = 23 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 24 + 0.0 = 23 + 3.5x + -3.5x 24 = 23 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 24 = 23 + 0.0 24 = 23 Solving 24 = 23 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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