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Simplifying (x + -3) * 2 + 5x = (x + 2) * 2 + -5 Reorder the terms: (-3 + x) * 2 + 5x = (x + 2) * 2 + -5 Reorder the terms for easier multiplication: 2(-3 + x) + 5x = (x + 2) * 2 + -5 (-3 * 2 + x * 2) + 5x = (x + 2) * 2 + -5 (-6 + 2x) + 5x = (x + 2) * 2 + -5 Combine like terms: 2x + 5x = 7x -6 + 7x = (x + 2) * 2 + -5 Reorder the terms: -6 + 7x = (2 + x) * 2 + -5 Reorder the terms for easier multiplication: -6 + 7x = 2(2 + x) + -5 -6 + 7x = (2 * 2 + x * 2) + -5 -6 + 7x = (4 + 2x) + -5 Reorder the terms: -6 + 7x = 4 + -5 + 2x Combine like terms: 4 + -5 = -1 -6 + 7x = -1 + 2x Solving -6 + 7x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 7x + -2x = -1 + 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = -1 + 0 -6 + 5x = -1 Add '6' to each side of the equation. -6 + 6 + 5x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -1 + 6 5x = -1 + 6 Combine like terms: -1 + 6 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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