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Simplifying -6x + 24 = 7(x + 9) Reorder the terms: 24 + -6x = 7(x + 9) Reorder the terms: 24 + -6x = 7(9 + x) 24 + -6x = (9 * 7 + x * 7) 24 + -6x = (63 + 7x) Solving 24 + -6x = 63 + 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. 24 + -6x + -7x = 63 + 7x + -7x Combine like terms: -6x + -7x = -13x 24 + -13x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -13x = 63 + 0 24 + -13x = 63 Add '-24' to each side of the equation. 24 + -24 + -13x = 63 + -24 Combine like terms: 24 + -24 = 0 0 + -13x = 63 + -24 -13x = 63 + -24 Combine like terms: 63 + -24 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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