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Simplifying -3(5x + -2) = 5x + 3(9 + -2x) Reorder the terms: -3(-2 + 5x) = 5x + 3(9 + -2x) (-2 * -3 + 5x * -3) = 5x + 3(9 + -2x) (6 + -15x) = 5x + 3(9 + -2x) 6 + -15x = 5x + (9 * 3 + -2x * 3) 6 + -15x = 5x + (27 + -6x) Reorder the terms: 6 + -15x = 27 + 5x + -6x Combine like terms: 5x + -6x = -1x 6 + -15x = 27 + -1x Solving 6 + -15x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + -15x + x = 27 + -1x + x Combine like terms: -15x + x = -14x 6 + -14x = 27 + -1x + x Combine like terms: -1x + x = 0 6 + -14x = 27 + 0 6 + -14x = 27 Add '-6' to each side of the equation. 6 + -6 + -14x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = 27 + -6 -14x = 27 + -6 Combine like terms: 27 + -6 = 21 -14x = 21 Divide each side by '-14'. x = -1.5 Simplifying x = -1.5
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