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Simplifying (x + 2) * 0.5 + -7 = 5(x + 2) + -7 Reorder the terms: (2 + x) * 0.5 + -7 = 5(x + 2) + -7 Reorder the terms for easier multiplication: 0.5(2 + x) + -7 = 5(x + 2) + -7 (2 * 0.5 + x * 0.5) + -7 = 5(x + 2) + -7 (1 + 0.5x) + -7 = 5(x + 2) + -7 Reorder the terms: 1 + -7 + 0.5x = 5(x + 2) + -7 Combine like terms: 1 + -7 = -6 -6 + 0.5x = 5(x + 2) + -7 Reorder the terms: -6 + 0.5x = 5(2 + x) + -7 -6 + 0.5x = (2 * 5 + x * 5) + -7 -6 + 0.5x = (10 + 5x) + -7 Reorder the terms: -6 + 0.5x = 10 + -7 + 5x Combine like terms: 10 + -7 = 3 -6 + 0.5x = 3 + 5x Solving -6 + 0.5x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 0.5x + -5x = 3 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -6 + -4.5x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4.5x = 3 + 0 -6 + -4.5x = 3 Add '6' to each side of the equation. -6 + 6 + -4.5x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -4.5x = 3 + 6 -4.5x = 3 + 6 Combine like terms: 3 + 6 = 9 -4.5x = 9 Divide each side by '-4.5'. x = -2 Simplifying x = -2
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