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Simplifying 3x + -7(6x + 6) = 38 + x Reorder the terms: 3x + -7(6 + 6x) = 38 + x 3x + (6 * -7 + 6x * -7) = 38 + x 3x + (-42 + -42x) = 38 + x Reorder the terms: -42 + 3x + -42x = 38 + x Combine like terms: 3x + -42x = -39x -42 + -39x = 38 + x Solving -42 + -39x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + -39x + -1x = 38 + x + -1x Combine like terms: -39x + -1x = -40x -42 + -40x = 38 + x + -1x Combine like terms: x + -1x = 0 -42 + -40x = 38 + 0 -42 + -40x = 38 Add '42' to each side of the equation. -42 + 42 + -40x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -40x = 38 + 42 -40x = 38 + 42 Combine like terms: 38 + 42 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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