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Simplifying 4(x + 1) = -6x + -46 Reorder the terms: 4(1 + x) = -6x + -46 (1 * 4 + x * 4) = -6x + -46 (4 + 4x) = -6x + -46 Reorder the terms: 4 + 4x = -46 + -6x Solving 4 + 4x = -46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 4x + 6x = -46 + -6x + 6x Combine like terms: 4x + 6x = 10x 4 + 10x = -46 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 10x = -46 + 0 4 + 10x = -46 Add '-4' to each side of the equation. 4 + -4 + 10x = -46 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -46 + -4 10x = -46 + -4 Combine like terms: -46 + -4 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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