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Simplifying 4(4 + -3x) + 9x = 7(5 + 6x) (4 * 4 + -3x * 4) + 9x = 7(5 + 6x) (16 + -12x) + 9x = 7(5 + 6x) Combine like terms: -12x + 9x = -3x 16 + -3x = 7(5 + 6x) 16 + -3x = (5 * 7 + 6x * 7) 16 + -3x = (35 + 42x) Solving 16 + -3x = 35 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 16 + -3x + -42x = 35 + 42x + -42x Combine like terms: -3x + -42x = -45x 16 + -45x = 35 + 42x + -42x Combine like terms: 42x + -42x = 0 16 + -45x = 35 + 0 16 + -45x = 35 Add '-16' to each side of the equation. 16 + -16 + -45x = 35 + -16 Combine like terms: 16 + -16 = 0 0 + -45x = 35 + -16 -45x = 35 + -16 Combine like terms: 35 + -16 = 19 -45x = 19 Divide each side by '-45'. x = -0.4222222222 Simplifying x = -0.4222222222
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