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Simplifying 8x + -6 + -3x = 7(2x + 1) Reorder the terms: -6 + 8x + -3x = 7(2x + 1) Combine like terms: 8x + -3x = 5x -6 + 5x = 7(2x + 1) Reorder the terms: -6 + 5x = 7(1 + 2x) -6 + 5x = (1 * 7 + 2x * 7) -6 + 5x = (7 + 14x) Solving -6 + 5x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 5x + -14x = 7 + 14x + -14x Combine like terms: 5x + -14x = -9x -6 + -9x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -9x = 7 + 0 -6 + -9x = 7 Add '6' to each side of the equation. -6 + 6 + -9x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 7 + 6 -9x = 7 + 6 Combine like terms: 7 + 6 = 13 -9x = 13 Divide each side by '-9'. x = -1.444444444 Simplifying x = -1.444444444
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