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Simplifying -6(3x + -5) = 4x + -2 Reorder the terms: -6(-5 + 3x) = 4x + -2 (-5 * -6 + 3x * -6) = 4x + -2 (30 + -18x) = 4x + -2 Reorder the terms: 30 + -18x = -2 + 4x Solving 30 + -18x = -2 + 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. 30 + -18x + -4x = -2 + 4x + -4x Combine like terms: -18x + -4x = -22x 30 + -22x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -22x = -2 + 0 30 + -22x = -2 Add '-30' to each side of the equation. 30 + -30 + -22x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -22x = -2 + -30 -22x = -2 + -30 Combine like terms: -2 + -30 = -32 -22x = -32 Divide each side by '-22'. x = 1.454545455 Simplifying x = 1.454545455
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