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Simplifying 4(3x + 9) = 6(2x + -5) + 7x Reorder the terms: 4(9 + 3x) = 6(2x + -5) + 7x (9 * 4 + 3x * 4) = 6(2x + -5) + 7x (36 + 12x) = 6(2x + -5) + 7x Reorder the terms: 36 + 12x = 6(-5 + 2x) + 7x 36 + 12x = (-5 * 6 + 2x * 6) + 7x 36 + 12x = (-30 + 12x) + 7x Combine like terms: 12x + 7x = 19x 36 + 12x = -30 + 19x Solving 36 + 12x = -30 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 36 + 12x + -19x = -30 + 19x + -19x Combine like terms: 12x + -19x = -7x 36 + -7x = -30 + 19x + -19x Combine like terms: 19x + -19x = 0 36 + -7x = -30 + 0 36 + -7x = -30 Add '-36' to each side of the equation. 36 + -36 + -7x = -30 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = -30 + -36 -7x = -30 + -36 Combine like terms: -30 + -36 = -66 -7x = -66 Divide each side by '-7'. x = 9.428571429 Simplifying x = 9.428571429
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