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Simplifying 24 + -1x = 3 + 6(x + 7) Reorder the terms: 24 + -1x = 3 + 6(7 + x) 24 + -1x = 3 + (7 * 6 + x * 6) 24 + -1x = 3 + (42 + 6x) Combine like terms: 3 + 42 = 45 24 + -1x = 45 + 6x Solving 24 + -1x = 45 + 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. 24 + -1x + -6x = 45 + 6x + -6x Combine like terms: -1x + -6x = -7x 24 + -7x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -7x = 45 + 0 24 + -7x = 45 Add '-24' to each side of the equation. 24 + -24 + -7x = 45 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 45 + -24 -7x = 45 + -24 Combine like terms: 45 + -24 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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