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Simplifying -15 + 7x = 6(4x + 6) Reorder the terms: -15 + 7x = 6(6 + 4x) -15 + 7x = (6 * 6 + 4x * 6) -15 + 7x = (36 + 24x) Solving -15 + 7x = 36 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 7x + -24x = 36 + 24x + -24x Combine like terms: 7x + -24x = -17x -15 + -17x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -17x = 36 + 0 -15 + -17x = 36 Add '15' to each side of the equation. -15 + 15 + -17x = 36 + 15 Combine like terms: -15 + 15 = 0 0 + -17x = 36 + 15 -17x = 36 + 15 Combine like terms: 36 + 15 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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