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Simplifying 7(8 + -3x) + -2.5 = 10 + 0.5(5x + 6.5) (8 * 7 + -3x * 7) + -2.5 = 10 + 0.5(5x + 6.5) (56 + -21x) + -2.5 = 10 + 0.5(5x + 6.5) Reorder the terms: 56 + -2.5 + -21x = 10 + 0.5(5x + 6.5) Combine like terms: 56 + -2.5 = 53.5 53.5 + -21x = 10 + 0.5(5x + 6.5) Reorder the terms: 53.5 + -21x = 10 + 0.5(6.5 + 5x) 53.5 + -21x = 10 + (6.5 * 0.5 + 5x * 0.5) 53.5 + -21x = 10 + (3.25 + 2.5x) Combine like terms: 10 + 3.25 = 13.25 53.5 + -21x = 13.25 + 2.5x Solving 53.5 + -21x = 13.25 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 53.5 + -21x + -2.5x = 13.25 + 2.5x + -2.5x Combine like terms: -21x + -2.5x = -23.5x 53.5 + -23.5x = 13.25 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 53.5 + -23.5x = 13.25 + 0.0 53.5 + -23.5x = 13.25 Add '-53.5' to each side of the equation. 53.5 + -53.5 + -23.5x = 13.25 + -53.5 Combine like terms: 53.5 + -53.5 = 0.0 0.0 + -23.5x = 13.25 + -53.5 -23.5x = 13.25 + -53.5 Combine like terms: 13.25 + -53.5 = -40.25 -23.5x = -40.25 Divide each side by '-23.5'. x = 1.712765957 Simplifying x = 1.712765957
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