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Simplifying 5x + -6 = 7(2x + -3) Reorder the terms: -6 + 5x = 7(2x + -3) Reorder the terms: -6 + 5x = 7(-3 + 2x) -6 + 5x = (-3 * 7 + 2x * 7) -6 + 5x = (-21 + 14x) Solving -6 + 5x = -21 + 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 = -21 + 14x + -14x Combine like terms: 5x + -14x = -9x -6 + -9x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -9x = -21 + 0 -6 + -9x = -21 Add '6' to each side of the equation. -6 + 6 + -9x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -21 + 6 -9x = -21 + 6 Combine like terms: -21 + 6 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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