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Simplifying 7[1 + -1(-6x + -4)] = 210x + 147 Reorder the terms: 7[1 + -1(-4 + -6x)] = 210x + 147 7[1 + (-4 * -1 + -6x * -1)] = 210x + 147 7[1 + (4 + 6x)] = 210x + 147 Combine like terms: 1 + 4 = 5 7[5 + 6x] = 210x + 147 [5 * 7 + 6x * 7] = 210x + 147 [35 + 42x] = 210x + 147 Reorder the terms: 35 + 42x = 147 + 210x Solving 35 + 42x = 147 + 210x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-210x' to each side of the equation. 35 + 42x + -210x = 147 + 210x + -210x Combine like terms: 42x + -210x = -168x 35 + -168x = 147 + 210x + -210x Combine like terms: 210x + -210x = 0 35 + -168x = 147 + 0 35 + -168x = 147 Add '-35' to each side of the equation. 35 + -35 + -168x = 147 + -35 Combine like terms: 35 + -35 = 0 0 + -168x = 147 + -35 -168x = 147 + -35 Combine like terms: 147 + -35 = 112 -168x = 112 Divide each side by '-168'. x = -0.6666666667 Simplifying x = -0.6666666667
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