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Simplifying 10 + -1(7x + 3.5) = -5.75 + 3(x + -2.5) Reorder the terms: 10 + -1(3.5 + 7x) = -5.75 + 3(x + -2.5) 10 + (3.5 * -1 + 7x * -1) = -5.75 + 3(x + -2.5) 10 + (-3.5 + -7x) = -5.75 + 3(x + -2.5) Combine like terms: 10 + -3.5 = 6.5 6.5 + -7x = -5.75 + 3(x + -2.5) Reorder the terms: 6.5 + -7x = -5.75 + 3(-2.5 + x) 6.5 + -7x = -5.75 + (-2.5 * 3 + x * 3) 6.5 + -7x = -5.75 + (-7.5 + 3x) Combine like terms: -5.75 + -7.5 = -13.25 6.5 + -7x = -13.25 + 3x Solving 6.5 + -7x = -13.25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6.5 + -7x + -3x = -13.25 + 3x + -3x Combine like terms: -7x + -3x = -10x 6.5 + -10x = -13.25 + 3x + -3x Combine like terms: 3x + -3x = 0 6.5 + -10x = -13.25 + 0 6.5 + -10x = -13.25 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -10x = -13.25 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -10x = -13.25 + -6.5 -10x = -13.25 + -6.5 Combine like terms: -13.25 + -6.5 = -19.75 -10x = -19.75 Divide each side by '-10'. x = 1.975 Simplifying x = 1.975
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