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Simplifying 5 + -6(x + -4) = 24 + -7x Reorder the terms: 5 + -6(-4 + x) = 24 + -7x 5 + (-4 * -6 + x * -6) = 24 + -7x 5 + (24 + -6x) = 24 + -7x Combine like terms: 5 + 24 = 29 29 + -6x = 24 + -7x Solving 29 + -6x = 24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 29 + -6x + 7x = 24 + -7x + 7x Combine like terms: -6x + 7x = 1x 29 + 1x = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 29 + 1x = 24 + 0 29 + 1x = 24 Add '-29' to each side of the equation. 29 + -29 + 1x = 24 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 24 + -29 1x = 24 + -29 Combine like terms: 24 + -29 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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