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Simplifying 3x + 1 + 0.5x = 7 + 15 + 7x Reorder the terms: 1 + 3x + 0.5x = 7 + 15 + 7x Combine like terms: 3x + 0.5x = 3.5x 1 + 3.5x = 7 + 15 + 7x Combine like terms: 7 + 15 = 22 1 + 3.5x = 22 + 7x Solving 1 + 3.5x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 3.5x + -7x = 22 + 7x + -7x Combine like terms: 3.5x + -7x = -3.5x 1 + -3.5x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3.5x = 22 + 0 1 + -3.5x = 22 Add '-1' to each side of the equation. 1 + -1 + -3.5x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -3.5x = 22 + -1 -3.5x = 22 + -1 Combine like terms: 22 + -1 = 21 -3.5x = 21 Divide each side by '-3.5'. x = -6 Simplifying x = -6
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