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Simplifying 3(x + 5) = 9(6x + -4) Reorder the terms: 3(5 + x) = 9(6x + -4) (5 * 3 + x * 3) = 9(6x + -4) (15 + 3x) = 9(6x + -4) Reorder the terms: 15 + 3x = 9(-4 + 6x) 15 + 3x = (-4 * 9 + 6x * 9) 15 + 3x = (-36 + 54x) Solving 15 + 3x = -36 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 15 + 3x + -54x = -36 + 54x + -54x Combine like terms: 3x + -54x = -51x 15 + -51x = -36 + 54x + -54x Combine like terms: 54x + -54x = 0 15 + -51x = -36 + 0 15 + -51x = -36 Add '-15' to each side of the equation. 15 + -15 + -51x = -36 + -15 Combine like terms: 15 + -15 = 0 0 + -51x = -36 + -15 -51x = -36 + -15 Combine like terms: -36 + -15 = -51 -51x = -51 Divide each side by '-51'. x = 1 Simplifying x = 1
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