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Simplifying 3x + 6 = 4(6x + 7) Reorder the terms: 6 + 3x = 4(6x + 7) Reorder the terms: 6 + 3x = 4(7 + 6x) 6 + 3x = (7 * 4 + 6x * 4) 6 + 3x = (28 + 24x) Solving 6 + 3x = 28 + 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. 6 + 3x + -24x = 28 + 24x + -24x Combine like terms: 3x + -24x = -21x 6 + -21x = 28 + 24x + -24x Combine like terms: 24x + -24x = 0 6 + -21x = 28 + 0 6 + -21x = 28 Add '-6' to each side of the equation. 6 + -6 + -21x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -21x = 28 + -6 -21x = 28 + -6 Combine like terms: 28 + -6 = 22 -21x = 22 Divide each side by '-21'. x = -1.047619048 Simplifying x = -1.047619048
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