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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 = -19 -3 + 5x = -19 + 8x + -3.5x Combine like terms: 8x + -3.5x = 4.5x -3 + 5x = -19 + 4.5x Solving -3 + 5x = -19 + 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 = -19 + 4.5x + -4.5x Combine like terms: 5x + -4.5x = 0.5x -3 + 0.5x = -19 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -3 + 0.5x = -19 + 0.0 -3 + 0.5x = -19 Add '3' to each side of the equation. -3 + 3 + 0.5x = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 0.5x = -19 + 3 0.5x = -19 + 3 Combine like terms: -19 + 3 = -16 0.5x = -16 Divide each side by '0.5'. x = -32 Simplifying x = -32
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