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Simplifying 5x + -3 = (8x + 11.5) + -1(3.5x + 7.5) Reorder the terms: -3 + 5x = (8x + 11.5) + -1(3.5x + 7.5) Reorder the terms: -3 + 5x = (11.5 + 8x) + -1(3.5x + 7.5) Remove parenthesis around (11.5 + 8x) -3 + 5x = 11.5 + 8x + -1(3.5x + 7.5) Reorder the terms: -3 + 5x = 11.5 + 8x + -1(7.5 + 3.5x) -3 + 5x = 11.5 + 8x + (7.5 * -1 + 3.5x * -1) -3 + 5x = 11.5 + 8x + (-7.5 + -3.5x) Reorder the terms: -3 + 5x = 11.5 + -7.5 + 8x + -3.5x Combine like terms: 11.5 + -7.5 = 4 -3 + 5x = 4 + 8x + -3.5x Combine like terms: 8x + -3.5x = 4.5x -3 + 5x = 4 + 4.5x Solving -3 + 5x = 4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -3 + 5x + -4.5x = 4 + 4.5x + -4.5x Combine like terms: 5x + -4.5x = 0.5x -3 + 0.5x = 4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -3 + 0.5x = 4 + 0.0 -3 + 0.5x = 4 Add '3' to each side of the equation. -3 + 3 + 0.5x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 0.5x = 4 + 3 0.5x = 4 + 3 Combine like terms: 4 + 3 = 7 0.5x = 7 Divide each side by '0.5'. x = 14 Simplifying x = 14
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