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Simplifying -38 + -4x = 6(7 + 6x) -38 + -4x = (7 * 6 + 6x * 6) -38 + -4x = (42 + 36x) Solving -38 + -4x = 42 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -38 + -4x + -36x = 42 + 36x + -36x Combine like terms: -4x + -36x = -40x -38 + -40x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 -38 + -40x = 42 + 0 -38 + -40x = 42 Add '38' to each side of the equation. -38 + 38 + -40x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + -40x = 42 + 38 -40x = 42 + 38 Combine like terms: 42 + 38 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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