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Simplifying 4 + 6(x + 7) = -4x + -24 Reorder the terms: 4 + 6(7 + x) = -4x + -24 4 + (7 * 6 + x * 6) = -4x + -24 4 + (42 + 6x) = -4x + -24 Combine like terms: 4 + 42 = 46 46 + 6x = -4x + -24 Reorder the terms: 46 + 6x = -24 + -4x Solving 46 + 6x = -24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 46 + 6x + 4x = -24 + -4x + 4x Combine like terms: 6x + 4x = 10x 46 + 10x = -24 + -4x + 4x Combine like terms: -4x + 4x = 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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