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Simplifying 8(3 + -1x) + -5 = 3(2x + -3) (3 * 8 + -1x * 8) + -5 = 3(2x + -3) (24 + -8x) + -5 = 3(2x + -3) Reorder the terms: 24 + -5 + -8x = 3(2x + -3) Combine like terms: 24 + -5 = 19 19 + -8x = 3(2x + -3) Reorder the terms: 19 + -8x = 3(-3 + 2x) 19 + -8x = (-3 * 3 + 2x * 3) 19 + -8x = (-9 + 6x) Solving 19 + -8x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 19 + -8x + -6x = -9 + 6x + -6x Combine like terms: -8x + -6x = -14x 19 + -14x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + -14x = -9 + 0 19 + -14x = -9 Add '-19' to each side of the equation. 19 + -19 + -14x = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -14x = -9 + -19 -14x = -9 + -19 Combine like terms: -9 + -19 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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