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Simplifying -6(1 + 3x) + 4 = 40 + -4x (1 * -6 + 3x * -6) + 4 = 40 + -4x (-6 + -18x) + 4 = 40 + -4x Reorder the terms: -6 + 4 + -18x = 40 + -4x Combine like terms: -6 + 4 = -2 -2 + -18x = 40 + -4x Solving -2 + -18x = 40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -18x + 4x = 40 + -4x + 4x Combine like terms: -18x + 4x = -14x -2 + -14x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -14x = 40 + 0 -2 + -14x = 40 Add '2' to each side of the equation. -2 + 2 + -14x = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = 40 + 2 -14x = 40 + 2 Combine like terms: 40 + 2 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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