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Simplifying 6x + -1 = 5(x + -2) + -7(2 + -3x) Reorder the terms: -1 + 6x = 5(x + -2) + -7(2 + -3x) Reorder the terms: -1 + 6x = 5(-2 + x) + -7(2 + -3x) -1 + 6x = (-2 * 5 + x * 5) + -7(2 + -3x) -1 + 6x = (-10 + 5x) + -7(2 + -3x) -1 + 6x = -10 + 5x + (2 * -7 + -3x * -7) -1 + 6x = -10 + 5x + (-14 + 21x) Reorder the terms: -1 + 6x = -10 + -14 + 5x + 21x Combine like terms: -10 + -14 = -24 -1 + 6x = -24 + 5x + 21x Combine like terms: 5x + 21x = 26x -1 + 6x = -24 + 26x Solving -1 + 6x = -24 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -1 + 6x + -26x = -24 + 26x + -26x Combine like terms: 6x + -26x = -20x -1 + -20x = -24 + 26x + -26x Combine like terms: 26x + -26x = 0 -1 + -20x = -24 + 0 -1 + -20x = -24 Add '1' to each side of the equation. -1 + 1 + -20x = -24 + 1 Combine like terms: -1 + 1 = 0 0 + -20x = -24 + 1 -20x = -24 + 1 Combine like terms: -24 + 1 = -23 -20x = -23 Divide each side by '-20'. x = 1.15 Simplifying x = 1.15
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