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Simplifying 14x + -8 + 6x = 6(5x + -3) + 5 Reorder the terms: -8 + 14x + 6x = 6(5x + -3) + 5 Combine like terms: 14x + 6x = 20x -8 + 20x = 6(5x + -3) + 5 Reorder the terms: -8 + 20x = 6(-3 + 5x) + 5 -8 + 20x = (-3 * 6 + 5x * 6) + 5 -8 + 20x = (-18 + 30x) + 5 Reorder the terms: -8 + 20x = -18 + 5 + 30x Combine like terms: -18 + 5 = -13 -8 + 20x = -13 + 30x Solving -8 + 20x = -13 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -8 + 20x + -30x = -13 + 30x + -30x Combine like terms: 20x + -30x = -10x -8 + -10x = -13 + 30x + -30x Combine like terms: 30x + -30x = 0 -8 + -10x = -13 + 0 -8 + -10x = -13 Add '8' to each side of the equation. -8 + 8 + -10x = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = -13 + 8 -10x = -13 + 8 Combine like terms: -13 + 8 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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