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Simplifying -6(3x + -7) = -4x + -28 Reorder the terms: -6(-7 + 3x) = -4x + -28 (-7 * -6 + 3x * -6) = -4x + -28 (42 + -18x) = -4x + -28 Reorder the terms: 42 + -18x = -28 + -4x Solving 42 + -18x = -28 + -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 = -28 + -4x + 4x Combine like terms: -18x + 4x = -14x 42 + -14x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + -14x = -28 + 0 42 + -14x = -28 Add '-42' to each side of the equation. 42 + -42 + -14x = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -14x = -28 + -42 -14x = -28 + -42 Combine like terms: -28 + -42 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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