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Simplifying (0.5x + 7) + -1x = (3x + -1) + -1(0.5x + 7) Reorder the terms: (7 + 0.5x) + -1x = (3x + -1) + -1(0.5x + 7) Remove parenthesis around (7 + 0.5x) 7 + 0.5x + -1x = (3x + -1) + -1(0.5x + 7) Combine like terms: 0.5x + -1x = -0.5x 7 + -0.5x = (3x + -1) + -1(0.5x + 7) Reorder the terms: 7 + -0.5x = (-1 + 3x) + -1(0.5x + 7) Remove parenthesis around (-1 + 3x) 7 + -0.5x = -1 + 3x + -1(0.5x + 7) Reorder the terms: 7 + -0.5x = -1 + 3x + -1(7 + 0.5x) 7 + -0.5x = -1 + 3x + (7 * -1 + 0.5x * -1) 7 + -0.5x = -1 + 3x + (-7 + -0.5x) Reorder the terms: 7 + -0.5x = -1 + -7 + 3x + -0.5x Combine like terms: -1 + -7 = -8 7 + -0.5x = -8 + 3x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 7 + -0.5x = -8 + 2.5x Solving 7 + -0.5x = -8 + 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. 7 + -0.5x + -2.5x = -8 + 2.5x + -2.5x Combine like terms: -0.5x + -2.5x = -3x 7 + -3x = -8 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 7 + -3x = -8 + 0.0 7 + -3x = -8 Add '-7' to each side of the equation. 7 + -7 + -3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -8 + -7 -3x = -8 + -7 Combine like terms: -8 + -7 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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