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Simplifying 10x + -5 + 8x = 5(6x + -2) + 2 Reorder the terms: -5 + 10x + 8x = 5(6x + -2) + 2 Combine like terms: 10x + 8x = 18x -5 + 18x = 5(6x + -2) + 2 Reorder the terms: -5 + 18x = 5(-2 + 6x) + 2 -5 + 18x = (-2 * 5 + 6x * 5) + 2 -5 + 18x = (-10 + 30x) + 2 Reorder the terms: -5 + 18x = -10 + 2 + 30x Combine like terms: -10 + 2 = -8 -5 + 18x = -8 + 30x Solving -5 + 18x = -8 + 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. -5 + 18x + -30x = -8 + 30x + -30x Combine like terms: 18x + -30x = -12x -5 + -12x = -8 + 30x + -30x Combine like terms: 30x + -30x = 0 -5 + -12x = -8 + 0 -5 + -12x = -8 Add '5' to each side of the equation. -5 + 5 + -12x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = -8 + 5 -12x = -8 + 5 Combine like terms: -8 + 5 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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