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Simplifying 5x + -46 = 5(3x + 5) + -1 Reorder the terms: -46 + 5x = 5(3x + 5) + -1 Reorder the terms: -46 + 5x = 5(5 + 3x) + -1 -46 + 5x = (5 * 5 + 3x * 5) + -1 -46 + 5x = (25 + 15x) + -1 Reorder the terms: -46 + 5x = 25 + -1 + 15x Combine like terms: 25 + -1 = 24 -46 + 5x = 24 + 15x Solving -46 + 5x = 24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -46 + 5x + -15x = 24 + 15x + -15x Combine like terms: 5x + -15x = -10x -46 + -10x = 24 + 15x + -15x Combine like terms: 15x + -15x = 0 -46 + -10x = 24 + 0 -46 + -10x = 24 Add '46' to each side of the equation. -46 + 46 + -10x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + -10x = 24 + 46 -10x = 24 + 46 Combine like terms: 24 + 46 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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