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Simplifying -3x + -24 = -7 + 7(6x + 4) Reorder the terms: -24 + -3x = -7 + 7(6x + 4) Reorder the terms: -24 + -3x = -7 + 7(4 + 6x) -24 + -3x = -7 + (4 * 7 + 6x * 7) -24 + -3x = -7 + (28 + 42x) Combine like terms: -7 + 28 = 21 -24 + -3x = 21 + 42x Solving -24 + -3x = 21 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -24 + -3x + -42x = 21 + 42x + -42x Combine like terms: -3x + -42x = -45x -24 + -45x = 21 + 42x + -42x Combine like terms: 42x + -42x = 0 -24 + -45x = 21 + 0 -24 + -45x = 21 Add '24' to each side of the equation. -24 + 24 + -45x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -45x = 21 + 24 -45x = 21 + 24 Combine like terms: 21 + 24 = 45 -45x = 45 Divide each side by '-45'. x = -1 Simplifying x = -1
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