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Simplifying 5(2x + -3) + -8x = 14x + -3(2x + 3) Reorder the terms: 5(-3 + 2x) + -8x = 14x + -3(2x + 3) (-3 * 5 + 2x * 5) + -8x = 14x + -3(2x + 3) (-15 + 10x) + -8x = 14x + -3(2x + 3) Combine like terms: 10x + -8x = 2x -15 + 2x = 14x + -3(2x + 3) Reorder the terms: -15 + 2x = 14x + -3(3 + 2x) -15 + 2x = 14x + (3 * -3 + 2x * -3) -15 + 2x = 14x + (-9 + -6x) Reorder the terms: -15 + 2x = -9 + 14x + -6x Combine like terms: 14x + -6x = 8x -15 + 2x = -9 + 8x Solving -15 + 2x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 2x + -8x = -9 + 8x + -8x Combine like terms: 2x + -8x = -6x -15 + -6x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -6x = -9 + 0 -15 + -6x = -9 Add '15' to each side of the equation. -15 + 15 + -6x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -9 + 15 -6x = -9 + 15 Combine like terms: -9 + 15 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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