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Simplifying 6(3x + -7) = (4x + -8) Reorder the terms: 6(-7 + 3x) = (4x + -8) (-7 * 6 + 3x * 6) = (4x + -8) (-42 + 18x) = (4x + -8) Reorder the terms: -42 + 18x = (-8 + 4x) Remove parenthesis around (-8 + 4x) -42 + 18x = -8 + 4x Solving -42 + 18x = -8 + 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. -42 + 18x + -4x = -8 + 4x + -4x Combine like terms: 18x + -4x = 14x -42 + 14x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 14x = -8 + 0 -42 + 14x = -8 Add '42' to each side of the equation. -42 + 42 + 14x = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = -8 + 42 14x = -8 + 42 Combine like terms: -8 + 42 = 34 14x = 34 Divide each side by '14'. x = 2.428571429 Simplifying x = 2.428571429
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