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Simplifying 7(2x + -5) = 4(6x + -2) + x Reorder the terms: 7(-5 + 2x) = 4(6x + -2) + x (-5 * 7 + 2x * 7) = 4(6x + -2) + x (-35 + 14x) = 4(6x + -2) + x Reorder the terms: -35 + 14x = 4(-2 + 6x) + x -35 + 14x = (-2 * 4 + 6x * 4) + x -35 + 14x = (-8 + 24x) + x Combine like terms: 24x + x = 25x -35 + 14x = -8 + 25x Solving -35 + 14x = -8 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -35 + 14x + -25x = -8 + 25x + -25x Combine like terms: 14x + -25x = -11x -35 + -11x = -8 + 25x + -25x Combine like terms: 25x + -25x = 0 -35 + -11x = -8 + 0 -35 + -11x = -8 Add '35' to each side of the equation. -35 + 35 + -11x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + -11x = -8 + 35 -11x = -8 + 35 Combine like terms: -8 + 35 = 27 -11x = 27 Divide each side by '-11'. x = -2.454545455 Simplifying x = -2.454545455
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