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Simplifying 3(9x + -1) = 7(6x + -3) Reorder the terms: 3(-1 + 9x) = 7(6x + -3) (-1 * 3 + 9x * 3) = 7(6x + -3) (-3 + 27x) = 7(6x + -3) Reorder the terms: -3 + 27x = 7(-3 + 6x) -3 + 27x = (-3 * 7 + 6x * 7) -3 + 27x = (-21 + 42x) Solving -3 + 27x = -21 + 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. -3 + 27x + -42x = -21 + 42x + -42x Combine like terms: 27x + -42x = -15x -3 + -15x = -21 + 42x + -42x Combine like terms: 42x + -42x = 0 -3 + -15x = -21 + 0 -3 + -15x = -21 Add '3' to each side of the equation. -3 + 3 + -15x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -15x = -21 + 3 -15x = -21 + 3 Combine like terms: -21 + 3 = -18 -15x = -18 Divide each side by '-15'. x = 1.2 Simplifying x = 1.2
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