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Simplifying 3x + -9x + 7 = 6(6x + 4) Reorder the terms: 7 + 3x + -9x = 6(6x + 4) Combine like terms: 3x + -9x = -6x 7 + -6x = 6(6x + 4) Reorder the terms: 7 + -6x = 6(4 + 6x) 7 + -6x = (4 * 6 + 6x * 6) 7 + -6x = (24 + 36x) Solving 7 + -6x = 24 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 7 + -6x + -36x = 24 + 36x + -36x Combine like terms: -6x + -36x = -42x 7 + -42x = 24 + 36x + -36x Combine like terms: 36x + -36x = 0 7 + -42x = 24 + 0 7 + -42x = 24 Add '-7' to each side of the equation. 7 + -7 + -42x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -42x = 24 + -7 -42x = 24 + -7 Combine like terms: 24 + -7 = 17 -42x = 17 Divide each side by '-42'. x = -0.4047619048 Simplifying x = -0.4047619048
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