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Simplifying 6(4x + 9) + -3 = 6(3 + 9x) + 87 Reorder the terms: 6(9 + 4x) + -3 = 6(3 + 9x) + 87 (9 * 6 + 4x * 6) + -3 = 6(3 + 9x) + 87 (54 + 24x) + -3 = 6(3 + 9x) + 87 Reorder the terms: 54 + -3 + 24x = 6(3 + 9x) + 87 Combine like terms: 54 + -3 = 51 51 + 24x = 6(3 + 9x) + 87 51 + 24x = (3 * 6 + 9x * 6) + 87 51 + 24x = (18 + 54x) + 87 Reorder the terms: 51 + 24x = 18 + 87 + 54x Combine like terms: 18 + 87 = 105 51 + 24x = 105 + 54x Solving 51 + 24x = 105 + 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. 51 + 24x + -54x = 105 + 54x + -54x Combine like terms: 24x + -54x = -30x 51 + -30x = 105 + 54x + -54x Combine like terms: 54x + -54x = 0 51 + -30x = 105 + 0 51 + -30x = 105 Add '-51' to each side of the equation. 51 + -51 + -30x = 105 + -51 Combine like terms: 51 + -51 = 0 0 + -30x = 105 + -51 -30x = 105 + -51 Combine like terms: 105 + -51 = 54 -30x = 54 Divide each side by '-30'. x = -1.8 Simplifying x = -1.8
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