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Simplifying 5(4x + -7) = 6(x + -2) Reorder the terms: 5(-7 + 4x) = 6(x + -2) (-7 * 5 + 4x * 5) = 6(x + -2) (-35 + 20x) = 6(x + -2) Reorder the terms: -35 + 20x = 6(-2 + x) -35 + 20x = (-2 * 6 + x * 6) -35 + 20x = (-12 + 6x) Solving -35 + 20x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 20x + -6x = -12 + 6x + -6x Combine like terms: 20x + -6x = 14x -35 + 14x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 14x = -12 + 0 -35 + 14x = -12 Add '35' to each side of the equation. -35 + 35 + 14x = -12 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = -12 + 35 14x = -12 + 35 Combine like terms: -12 + 35 = 23 14x = 23 Divide each side by '14'. x = 1.642857143 Simplifying x = 1.642857143
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