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Simplifying 7(x + 3) + 9 + -2x = 4(x + 5) + 0.5(2x) + 28 Reorder the terms: 7(3 + x) + 9 + -2x = 4(x + 5) + 0.5(2x) + 28 (3 * 7 + x * 7) + 9 + -2x = 4(x + 5) + 0.5(2x) + 28 (21 + 7x) + 9 + -2x = 4(x + 5) + 0.5(2x) + 28 Reorder the terms: 21 + 9 + 7x + -2x = 4(x + 5) + 0.5(2x) + 28 Combine like terms: 21 + 9 = 30 30 + 7x + -2x = 4(x + 5) + 0.5(2x) + 28 Combine like terms: 7x + -2x = 5x 30 + 5x = 4(x + 5) + 0.5(2x) + 28 Reorder the terms: 30 + 5x = 4(5 + x) + 0.5(2x) + 28 30 + 5x = (5 * 4 + x * 4) + 0.5(2x) + 28 30 + 5x = (20 + 4x) + 0.5(2x) + 28 Remove parenthesis around (2x) 30 + 5x = 20 + 4x + 0.5 * 2x + 28 Multiply 0.5 * 2 30 + 5x = 20 + 4x + 1x + 28 Reorder the terms: 30 + 5x = 20 + 28 + 4x + 1x Combine like terms: 20 + 28 = 48 30 + 5x = 48 + 4x + 1x Combine like terms: 4x + 1x = 5x 30 + 5x = 48 + 5x Add '-5x' to each side of the equation. 30 + 5x + -5x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 0 = 48 + 5x + -5x 30 = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 30 = 48 + 0 30 = 48 Solving 30 = 48 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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