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Simplifying 1.2(x + 5) = 0.5x + -1 Reorder the terms: 1.2(5 + x) = 0.5x + -1 (5 * 1.2 + x * 1.2) = 0.5x + -1 (6 + 1.2x) = 0.5x + -1 Reorder the terms: 6 + 1.2x = -1 + 0.5x Solving 6 + 1.2x = -1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 1.2x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 1.2x + -0.5x = 0.7x 6 + 0.7x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 0.7x = -1 + 0.0 6 + 0.7x = -1 Add '-6' to each side of the equation. 6 + -6 + 0.7x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 0.7x = -1 + -6 0.7x = -1 + -6 Combine like terms: -1 + -6 = -7 0.7x = -7 Divide each side by '0.7'. x = -10 Simplifying x = -10
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