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Simplifying 21 + -46 = 3(x + 1) + -4 Combine like terms: 21 + -46 = -25 -25 = 3(x + 1) + -4 Reorder the terms: -25 = 3(1 + x) + -4 -25 = (1 * 3 + x * 3) + -4 -25 = (3 + 3x) + -4 Reorder the terms: -25 = 3 + -4 + 3x Combine like terms: 3 + -4 = -1 -25 = -1 + 3x Solving -25 = -1 + 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. -25 + -3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + -3x = -1 + 0 -25 + -3x = -1 Add '25' to each side of the equation. -25 + 25 + -3x = -1 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = -1 + 25 -3x = -1 + 25 Combine like terms: -1 + 25 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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