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Simplifying 6(1 + 7x) + -9(4x + 8) = -9x + -7x (1 * 6 + 7x * 6) + -9(4x + 8) = -9x + -7x (6 + 42x) + -9(4x + 8) = -9x + -7x Reorder the terms: 6 + 42x + -9(8 + 4x) = -9x + -7x 6 + 42x + (8 * -9 + 4x * -9) = -9x + -7x 6 + 42x + (-72 + -36x) = -9x + -7x Reorder the terms: 6 + -72 + 42x + -36x = -9x + -7x Combine like terms: 6 + -72 = -66 -66 + 42x + -36x = -9x + -7x Combine like terms: 42x + -36x = 6x -66 + 6x = -9x + -7x Combine like terms: -9x + -7x = -16x -66 + 6x = -16x Solving -66 + 6x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -66 + 6x + 16x = -16x + 16x Combine like terms: 6x + 16x = 22x -66 + 22x = -16x + 16x Combine like terms: -16x + 16x = 0 -66 + 22x = 0 Add '66' to each side of the equation. -66 + 66 + 22x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 22x = 0 + 66 22x = 0 + 66 Combine like terms: 0 + 66 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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