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Simplifying 0.5(7x + 19) = 7x + -1 Reorder the terms: 0.5(19 + 7x) = 7x + -1 (19 * 0.5 + 7x * 0.5) = 7x + -1 (9.5 + 3.5x) = 7x + -1 Reorder the terms: 9.5 + 3.5x = -1 + 7x Solving 9.5 + 3.5x = -1 + 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. 9.5 + 3.5x + -7x = -1 + 7x + -7x Combine like terms: 3.5x + -7x = -3.5x 9.5 + -3.5x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 9.5 + -3.5x = -1 + 0 9.5 + -3.5x = -1 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -3.5x = -1 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -3.5x = -1 + -9.5 -3.5x = -1 + -9.5 Combine like terms: -1 + -9.5 = -10.5 -3.5x = -10.5 Divide each side by '-3.5'. x = 3 Simplifying x = 3
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