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Simplifying x + 1 = 0.5(5x + -7) Reorder the terms: 1 + x = 0.5(5x + -7) Reorder the terms: 1 + x = 0.5(-7 + 5x) 1 + x = (-7 * 0.5 + 5x * 0.5) 1 + x = (-3.5 + 2.5x) Solving 1 + x = -3.5 + 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. 1 + x + -2.5x = -3.5 + 2.5x + -2.5x Combine like terms: x + -2.5x = -1.5x 1 + -1.5x = -3.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 1 + -1.5x = -3.5 + 0.0 1 + -1.5x = -3.5 Add '-1' to each side of the equation. 1 + -1 + -1.5x = -3.5 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5x = -3.5 + -1 -1.5x = -3.5 + -1 Combine like terms: -3.5 + -1 = -4.5 -1.5x = -4.5 Divide each side by '-1.5'. x = 3 Simplifying x = 3
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