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Simplifying 23 + -46 = 3(x + -1) + -5 Combine like terms: 23 + -46 = -23 -23 = 3(x + -1) + -5 Reorder the terms: -23 = 3(-1 + x) + -5 -23 = (-1 * 3 + x * 3) + -5 -23 = (-3 + 3x) + -5 Reorder the terms: -23 = -3 + -5 + 3x Combine like terms: -3 + -5 = -8 -23 = -8 + 3x Solving -23 = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23 + -3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + -3x = -8 + 0 -23 + -3x = -8 Add '23' to each side of the equation. -23 + 23 + -3x = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -3x = -8 + 23 -3x = -8 + 23 Combine like terms: -8 + 23 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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