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Simplifying 4x + 24 = 6(x + 7) Reorder the terms: 24 + 4x = 6(x + 7) Reorder the terms: 24 + 4x = 6(7 + x) 24 + 4x = (7 * 6 + x * 6) 24 + 4x = (42 + 6x) Solving 24 + 4x = 42 + 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 + 4x + -6x = 42 + 6x + -6x Combine like terms: 4x + -6x = -2x 24 + -2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -2x = 42 + 0 24 + -2x = 42 Add '-24' to each side of the equation. 24 + -24 + -2x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 42 + -24 -2x = 42 + -24 Combine like terms: 42 + -24 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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