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Simplifying (3x + 7) * 0.5 = x + -1 Reorder the terms: (7 + 3x) * 0.5 = x + -1 Reorder the terms for easier multiplication: 0.5(7 + 3x) = x + -1 (7 * 0.5 + 3x * 0.5) = x + -1 (3.5 + 1.5x) = x + -1 Reorder the terms: 3.5 + 1.5x = -1 + x Solving 3.5 + 1.5x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.5 + 1.5x + -1x = -1 + x + -1x Combine like terms: 1.5x + -1x = 0.5x 3.5 + 0.5x = -1 + x + -1x Combine like terms: x + -1x = 0 3.5 + 0.5x = -1 + 0 3.5 + 0.5x = -1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.5x = -1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.5x = -1 + -3.5 0.5x = -1 + -3.5 Combine like terms: -1 + -3.5 = -4.5 0.5x = -4.5 Divide each side by '0.5'. x = -9 Simplifying x = -9
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