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Simplifying -6(3x + 7) = 4x + -5 + 3x + -9 Reorder the terms: -6(7 + 3x) = 4x + -5 + 3x + -9 (7 * -6 + 3x * -6) = 4x + -5 + 3x + -9 (-42 + -18x) = 4x + -5 + 3x + -9 Reorder the terms: -42 + -18x = -5 + -9 + 4x + 3x Combine like terms: -5 + -9 = -14 -42 + -18x = -14 + 4x + 3x Combine like terms: 4x + 3x = 7x -42 + -18x = -14 + 7x Solving -42 + -18x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -42 + -18x + -7x = -14 + 7x + -7x Combine like terms: -18x + -7x = -25x -42 + -25x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + -25x = -14 + 0 -42 + -25x = -14 Add '42' to each side of the equation. -42 + 42 + -25x = -14 + 42 Combine like terms: -42 + 42 = 0 0 + -25x = -14 + 42 -25x = -14 + 42 Combine like terms: -14 + 42 = 28 -25x = 28 Divide each side by '-25'. x = -1.12 Simplifying x = -1.12
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