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Simplifying 6x + -5(3x + 2) = 5(x + -1) + -8 Reorder the terms: 6x + -5(2 + 3x) = 5(x + -1) + -8 6x + (2 * -5 + 3x * -5) = 5(x + -1) + -8 6x + (-10 + -15x) = 5(x + -1) + -8 Reorder the terms: -10 + 6x + -15x = 5(x + -1) + -8 Combine like terms: 6x + -15x = -9x -10 + -9x = 5(x + -1) + -8 Reorder the terms: -10 + -9x = 5(-1 + x) + -8 -10 + -9x = (-1 * 5 + x * 5) + -8 -10 + -9x = (-5 + 5x) + -8 Reorder the terms: -10 + -9x = -5 + -8 + 5x Combine like terms: -5 + -8 = -13 -10 + -9x = -13 + 5x Solving -10 + -9x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + -9x + -5x = -13 + 5x + -5x Combine like terms: -9x + -5x = -14x -10 + -14x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -14x = -13 + 0 -10 + -14x = -13 Add '10' to each side of the equation. -10 + 10 + -14x = -13 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = -13 + 10 -14x = -13 + 10 Combine like terms: -13 + 10 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143
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